Question

prove that if one angle of triangle is equal to the sum of other two angles, the triangle is right angled triangle ?

please give the proper solution.

Answer 1

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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