Question

Prove that one angle of a triangle is equal to the sum of other two angles if it is a right angled triangle

Answer 1

if it is right angled at pt b then a+b=90


hence b= a+b





a- a angle
b-right angle
c-another angle

all in a triangle abc

Answer 2

Answer:

Sol: Given - B = A+C ------(1)

In ABC ,By Angle Sum Property of Triangle,

A +B+C = 180°

B + (A+C) = 180°

B + B = 180° [From equation (1)]

2B = 180°

B = 180°/2 = 90°

Now ,here B =90° it means ABC is a right angled triangle