Question

In the triangle ABC, angle A = x degree, angle b = 3x degree and angle c= y degree. If 3y-7x = 30, prove that the triangle is a right angled traiangle

Answer 1

sum of all angles in a triangle is 180

A + B +C = 180

x+3x+y = 180

y=180-4x ------>1

3y-7x=30 ------>2

from 1 and 2

3(180-4x)-7X= -30

-12x-7x= -30-540

-19x = -570

x = 30

y =60

3x = 90

therefore it is a right angle  triangle

Answer 2

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