#### Answer

$x =$24
$y=$-8

#### Work Step by Step

$A\parallel $B 2X-Y = 3X +2Y (Vertically opposite angles are equal) X+3Y=0 ...(1)
Also
X +100 + (2X-Y) = 180 (Sum of angles of a triangle)
3X - Y =80...(2)
Using (1) AND (2) and subtracting after multiplying $(1) \times $3
3X +9 Y = 0
3X -Y =80
- + - 10 Y = -80 Y = -8
Putting values in above
X+ 3Y =0
X= -3 (-8)
X= 24