Question

In triangle abc angle is equal to x angle b is equal to 3x angle c is equal to y if 3 y - 5 x is equals to 30 degree prove that the triangle is right angled

Answer 1

angle A is X

angle B is 3X

angle C is Y

therefore X+3x+y=180

4x+y=180...angle sum property of triangl

according to given information

3y-5x=30

4x+y=180....equation 1

y=180-4x

3(180-4x)-5x=30

540-12x-5x=30

540-30=17x

510=17x

X=30

as angle B is 3x

angle B is 3×30=90

as angle B is 90 degrees the following triangle is a right angled triangle