Question

find the value of x,y for which the lines AD and BC become parallel​

Answer 1

Answer:

Given AD||BC

5y=2x.........(1) [alternate angles]

<BAC=180-5y-30

<BAC=150-5y

(150-5y)+2x+x-y=180°

150-5y+2x+X+y=180°

3x-6y=30

x-2y=10

X=10+2y........(2)

5y=2x......... (1)

X=10+2y.........(2)

Substitute (2) into (1)

5y=2x

5y=2(10+2y)

5y=20+4y

5y-4y=20

y=20°

X=10+2y

X=10+2(20)

X=10+40

X=50°