Question

p if ab is parallel to CD then find the value of x and y​

Answer 1

Answer:

x = 36°, y = 108°

Step-by-step explanation:

angleBAC + angleABC = angleACD

i.e.62° + 2x = 134 (since sum of opp into angles is sq to ext angle)

2x = 72°

x = 36°

Extend EC to P such that ECP is parallel to AB.

therefore,

anglePCB + angleABC = 180° (since they are co-int angles)

i.e y + 2x = 180,(y is same as PCB, they are vert.opp.angles)

y + 72° = 180°

y = 108°