Question

prove that in a triangle if one of the angles is equal to sum of the other two angles, then it is a right angle triangle.​

Answer 1

Answer:

The one angle of triangle is equal to the sum of the other two. / C = 90°. So, the Right - angled is proved .

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