Q. 54.0( 10 Votes )

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

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.


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