# If one angle of a triangle is equal to the sum of the two other angles, show that the triangle is right – angled.

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.

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