Question

In triangle abc angle a is x angle b is 3x nd angle c is y

Answer 1

If B = 3x, then triangle ABC will be a right triangle.

A + B + C = 180°

x + 3x + y = 180° ………..(1)

3y - 5x = 30 ( given)

=> y =( 30 + 5x)/3

=> y = 10 + 5x/3

=> eq (1) =

x + 3x + 10 + 5x/3 = 180

=> 17x/3 = 170

=> x = 170*3 /17 = 30°

=> A= 30°,

B = 3x= 90°,

C = 10+ 5x/3 = 10+150/3 = 10+50 = 60°

=> tri ABC is a right triangle , right angled at B