Question

In AABC, angle A = x°, angle B = 3x,angle C = yº. If 3y-5x = 30.
Prove that triangle is a right angled triangle.​

Answer 1

Step-by-step explanation:

given A=x ,B=3x,C=y

and 3y-5x =30

in a traingle sum of All angles is equal to 180

so x+3x+y=180

4x+y=180

and 3y -5x=30

3y =30+5x

y=30+5x/3

put in 4x+y=180

4x+(30+5x/3)=180

17x+30=540

x=30

so angles A=x=30

B=3x=3(30)=90

c=180-90-30=60

So angle B =90 hence proved it is a right angle triangle