Question

In triangle ABC, angleA = X, angleB - 3x,angleC=y. If 3y-5x= 30° Show that
triangle is right angled triangle.​

Answer 1

Answer:

angle A=30°, angle B=90°, and angle C=60°

Step-by-step explanation:

in triangle sum of all angle be 180°

Angle A+B+C =180°

so we have x+3x+y=180°

180°=4x+y

and give that 30°=3y-5x

on solving by substituting

We got x=30° and y=60°

so putting these values in angle A =x= 30°

and B= 3x =3×30° =90°

c =y =60°

Answer 2

Step-by-step explanation:

We know that, A+B+C=180°

=)x+3x+y=180°

=)4x+y=180°....................................(I)

Given that, 3y-5x=30°

=)-5x+3y=30°....................................(II)

Solving equation (I) & (II)

Subtracting,

3×(I); 12x+3y=540°

(II); -5x+3y=30°

(+) (-) (-)

______________

17x= 510°

=) x=30°( measure of angle A)

measure of angle B= 3x= 90°

Hence, Triangle ABC is a right angled triangle.