Is the angle of two acute angles on a triangular ruler necessarily obtuse?

Not necessarily. The analysis process is as follows:

The triangular ruler has two triangular plates, of which:

One is an isosceles right triangle.

The angles are: 45, 45, 90.

The other is a slender triangle with angles of 30, 60, 90, respectively.

When 30 degrees and 45 degrees are put together, the angle is 75 degrees, but 75 degrees is an acute angle. Therefore, the angle formed by two acute angles on the triangular ruler is not necessarily an obtuse angle.

This statement is false, two acute angles do not necessarily spell together one obtuse angle. Because if the two acute angles on the triangular ruler are both 45 degrees, then they constitute right angles.

Examples:1Two 30-degree triangulations can spell out an equilateral triangle, an acute triangle.

2.Two 30-degree triangles create an obtuse triangle, one with 120 degrees and the other two with 30 degrees.

3.Two 45-degree triangles create a right triangle, one at 90 degrees and the other two at 45 degrees.

Definition: A triangle with an angle that is obtuse (greater than 90° and less than 180°) is an obtuse triangle.

Features:1Two of the obtuse triangles are high on the outside of the obtuse triangle and the other inside the triangle.

2.The obtuse angle is greater than ninety degrees and less than one hundred and eighty degrees.

3.In obtuse triangles, auxiliary lines are often used when making heights.

4.In an obtuse triangle, the sum of the two acute angles is less than the obtuse angle number.

5.The sum of the internal angles is 180 degrees.

6.The sum of the outer angles is 360 degrees. (Extended: The sum of the outer angles of all polygonal closed graphs is 360 degrees).

Not necessarily. The angle formed by the two acute angles on the triangular ruler may be exactly 90 degrees at a right angle.

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The angles spelled out by the right and acute angles of the triangular ruler are obtuse angles. Because the right angle is fixed equal to 90 degrees, and the acute angle needs to be less than 90 degrees, the two are added together, then the degree will be greater than 90 degrees and less than 180 degrees, and the angle greater than 90 degrees and less than 180 degrees is an obtuse angle.

Blunt angles have the following properties:

1. The obtuse angle is composed of two rays.

2. The obtuse angle is a kind of inferior angle.

3. The obtuse angle must be the second quadrant angle, and the second quadrant angle is not necessarily an obtuse angle.

4. In the trigonometric values of obtuse angles, the sine value (sin) is a positive value, and the cosine value (cos), tangent value (tan), and cotangent value (cot) are negative values.

A pair of triangles can spell out 5 obtuse angles. They are 105 degrees, 120 degrees, 135 degrees, 150 degrees, and 165 degrees.

With a triangular ruler, you can spell out acute, right and obtuse angles.

The acute angles that can be spelled out with a pair of triangular rulers are: 15 degrees, 30 degrees, 45 degrees, 60 degrees, 75 degrees;

The right angles that can be spelled out with a pair of triangular rulers are: 90 degrees;

The obtuse angles that can be spelled out with a triangular ruler are: 105 degrees, 120 degrees, 135 degrees, 150 degrees, and 165 degrees.

Two identical isosceles right-angled triangles can be put together to form a square, or they can be put together into a larger isosceles right-angled triangle. The two right-angled sides of an isosceles right-angled triangle are of equal length. Two identical thin triangular plates can be put together to form a regular triangle.

The hypotenuse of a thin triangular plate is twice as long as the length of a short right-angled side.

In particular, a triangle board and a T-shaped ruler can be combined to draw a series of vertical lines in a bottom-up order. Matching a T-ruler with a triangle plate allows you to draw an angle of °. Diagonal lines are usually drawn from left to right when drawing.

With two triangles and a T-ruler, you can also draw a diagonal line of °.

With a pair of triangular rulers, you can spell out acute angles and obtuse angles, among which you can spell out the following 5 pure angles, 5 acute angles 15 degrees, 30 degrees, 45 degrees, 60 degrees. 75 degrees.

Drawing application: 1. Use a triangular ruler to easily draw an integer multiple angle of 15°. In particular, a triangular ruler and a T-ruler can be combined to draw a series of vertical lines in a bottom-up order.

Matching a T-ruler with a triangular ruler allows you to draw an angle of °. Diagonal lines are usually drawn from left to right when drawing. You can also draw a diagonal line of ° with two triangular rulers in conjunction with a T-ruler.

2. With the cooperation of two triangular rulers, you can draw the parallel lines of any drawing line.

You can spell out the following 5 pure angles and 5 acute angles.

15 degrees, 30 degrees, 45 degrees, 60 degrees. 75 degrees.

105 degrees. 120 degrees, 135 degrees, 150 degrees. 165 degrees. 180 degrees.

There are two regular triangular rulers, each with a right angle and two acute angles. It is mainly the splicing of obtuse angles, and any right angle and the remaining three acute angles of different degrees can be spliced to form an obtuse angle.

1. In a pair of triangular rulers, two acute angles can spell out an obtuse angle, for example: 60°+45°=105°

The 105° angle is an obtuse angle.

2. Two acute angles can also be spelled out with two acute angles in a pair of triangular rulers, 30 ° + 45 ° = 75 °

A 75° angle is an acute angle.

The triangular ruler is generally a right angle and two acute angles, so two acute angles can be put together to form a right angle.

Because it's a pair of triangles, so.

45 degrees + 30 degrees = 75 degrees.

45 degrees + 60 degrees = 105 degrees.

Armor, acute angles, right angles, obtuse angles.

4 right angles, 6 acute angles, 6 obtuse angles.

Angles greater than 0° and less than 90° are called acute angles, angles greater than 90° and less than 180° are called obtuse angles, and angles equal to 90° are called right angles.

When the adjacent angles of a straight line and another horizontal line are equal to each other, each of these angles is called a right angle, and the line is said to be perpendicular to the other. Those with smaller angles than right angles are called acute angles, and those that are larger than right angles and smaller than flat angles are called obtuse angles.

1. Acute angle:

1. Two 30-degree triangular rulers can spell out an equilateral triangle, and the three corners are all 60-degree acute angles.

2. A 30-degree triangular ruler and a 45-degree triangular ruler can spell out a 75-degree acute angle.

2. Right angle: 1. Two 45-degree triangular rulers, put the two 45 degrees together to become a 90-degree right angle.

2. Two 30-degree triangular rulers, put 30 degrees and 60 degrees together, and become 90-degree right angles.

3. Obtuse angle: 1. Two 30-degree triangular rulers, put 60 degrees and 60 degrees together to spell out a 120-degree obtuse angle.

2. Two 30-degree triangular rulers, put 60 degrees and 90 degrees together to become a 150-degree obtuse angle.

3. Two 30-degree triangular rulers, put 30 degrees and 90 degrees together to become a 120-degree obtuse angle.

4. A 30-degree triangular ruler and a 45-degree triangular ruler put 45 degrees and 90 degrees together to become a 135-degree obtuse angle.

1. Explore using a pair of triangular rulers to spell out different angles, and know that right angles and acute angles must be obtuse angles. 2. Experience a complete process of activities, cultivate students' hands-on ability, cooperation and innovation awareness, and improve their problem-solving skills.

The sum of the 2 acute angles on the same triangular ruler is a (right) angle.

Analysis: The sum of the internal angles of the triangular ruler is 180 degrees, and the two acute angles of a triangular ruler add up to 180-90=90 degrees, that is, right angles.

Both acute angles of the isosceles right-angle triangular ruler are 45°. Two identical isosceles right triangles can be put together into a square, or they can be put together into a larger isosceles right triangle.

The two right-angled sides of an isosceles right-angled triangular ruler are equal in length.

The acute angles of the slender triangular rulers are 30° and 60°, respectively. Two identical slender triangular rulers can be put together to form a regular triangle.

The hypotenuse of a thin triangular ruler.

The length is twice the length of the short right-angled edge.

A triangular ruler is a right-angled triangle – one of the angles is a right angle, equal to 90°; The sum of the degrees of two acute angles is also equal to 90°.

So, two acute angles on the same triangular ruler add up to right angles.

The sum of the three inner angles of the triangle is 180 degrees.

There is a right angle of 90 degrees on the same triangular ruler, and the other 2 acute angles add up to a 90° angle.