# In which triangle one angle of the triangle is equal to the sum of other two angles?

## In which triangle one angle of the triangle is equal to the sum of other two angles?

right angled triangle
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is a right angled triangle.

When one angle of a triangle is a right angle the sum of the measures of the other two angles?

90
Correct answer: The sum of the angles in a triangle is 180. A right triangle has one angle of 90. Thus, the sum of the other two angles will be 90. Thus, the first angle is and the second angle is .

What is the name of the triangle in which sum of two smaller angle is equal to a right angle?

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45-45-90 triangle This is also called an isosceles right-angled triangle since two angles are equal.

### What is the sum of two angles of a triangle?

The Sum of Two Angles of a Triangle is Equal to Its Third Angle.

What is an acute angle?

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

What does a right triangle equal to?

90 degrees
Right triangles are triangles in which one of the interior angles is 90 degrees, a right angle. Since the three interior angles of a triangle add up to 180 degrees, in a right triangle, since one angle is always 90 degrees, the other two must always add up to 90 degrees (they are complementary).

#### What do the angles of a triangle equal?

Angles in a triangle sum to 180° proof.

Is this triangle right angled?

It is possible to determine if a triangle contains a right angle using Pythagoras’ theorem . If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

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What is the angle of a triangle?

The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. Another way to calculate the exterior angle of a triangle is to subtract the angle of the vertex of interest from 180°.

## What is angle of triangle?

All triangles have internal angles that add up to 180° , no matter the type of triangle. An isosceles triangle will have two angles the same size. In an equilateral triangle, all angles will be 60° .

What is the sum of all three angles of a triangle?

We know that the sum of all three angles of a triangle is 180 o. ∠A + ∠B + ∠C = 180 o (Angles of △ABC)…… (iii) Therefore, the three angles of the given triangle are 80 o, 60 o, and 40 o.

Which triangle is a right angled triangle?

Thus, △ABC, is a right angled triangle. Was this answer helpful? The one angle of triangle is equal to the sum of the other two. . So, the Right – angled is proved.

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### What is the first and the second angle of a triangle?

The first and the second angle is 50 o and the third angle is 80 o. 8. If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right triangle. 9. If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.

How do you know if a triangle is acute angled?

8. If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right triangle. 9. If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled. Given that each angle of a triangle is less than the sum of the other two