Question

if one angle of triangle is equal to the sum of another two show that the triangle is a right triangle

Answer 1

Answer:   if there is a 90 degree angle

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Consider ΔABC where

Given:        ∠A = ∠B + ∠C

To Show: ΔABC is right angled triangle.

We know that, sum of all interior angles in a triangle = 180°

∠A + ∠B + ∠C = 180°

∠A + ∠A = 180°                 [ ∵ ∠A = ∠B + ∠C]

2∠A = 180°

∠A = 90°

Since ∠A = 90°, ΔABC is a right angled triangle.

Hence, we can say that, In a Triangle, if one angle is equals to sum of other two angles then triangle is right angled.