Question

If one of the angle of a triangle is equal to the sum of other two, show that the triangle is a right triangle. Please answer with full explanation because i am weak in maths

Answer 1

Answer:

For proof

Construct ∆ABC

We've to prove angle B=90°

We know

angle A+angle C=angle B

Also

angle A+angle B+angle C=180°(sum of all interior angles of a triangle are supplementary)

Convert angle A+angle C=angle B

angle B+angle B=180°

2 angle B=180

angle B=180/2

angle B=90°

Hence proved

therefore ∆ABC is right angled triangle