Question

if one angle of a triangle is equal to the sum of the other two , show that the triangle is a right angled

Answer 1

Answer,

Let ∠A = x, ∠B = y and ∠C = z

∠A + ∠B + ∠C = 180 (sum of angles of triangle is 180)

x + y + z = 180 ……………(i)

According to question,

x = y + z ………….(ii)

Adding eq (i) and (ii), we get

x + x = 180

2x = 180

X = 90

Hence,

It is a right angled triangle.

Thanks!!