In the given figure, PQ || VR || TS and x : y = 6 : 12. Find z.

Question

Answer 1

x+y = 180

x/y = 6/12 = 1/2

x/y=1/2

cross multiply

y=2x

substitute into 1st equatin

x+2x =180

3x =180

x=180/3 = 60 degrees

y=180-60= 120 degrees

z=y= 120 degrees