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

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## 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?**

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.

**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.

### 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