Question

(C) If AB || PQ, find y.​

Answer 1

Answer:y=118°

Step-by-step explanation:

Extend both the short lines to meet the lines PQ and AB.

Then a triangle on each side will be formed whose base angles will be 59°•

The remaining top angle nearby y will be 62°

Then y +62° =180°

Therefore y=118°

Answer 2

Answer:

First draw a extra construction line AP

Then consider angle y as T

Now as AB || PQ angle

ANGLE BAT+ PAT =180°(linear pair)

so. PAT=180°-59°=121°

So ANGLE PAT=APT(as AB||PQ)

Then. ANGLE ATP+APT+PAT=180°(Angle sum property)

So ANGLE ATP=180°-(59°+59°)

ATP=180°-118°

ATP=62°

This angle y equal 62°.