Question

If AB || PQ, find y. А Р 59 59 B Q​

Answer 1

Answer:

∠y = 118°

Step-by-step explanation:

Given :

AB || PQ

To Find :

Value of ∠y.

Construction :

Draw EF || AB and EF || PQ.

Calculations :

∠BAO = ∠AOE = 59° (alternate interior angle)

Also,

∠QPO = ∠POE = 59° (Alternate interior angle).

So,

∠y = ∠AOE + ∠POE

∠y = 59° +59°

∠y = 118°.

ps : Refer attachment,if seems confusing.

Answer 2

Answer:

Let O be the point on figure such that , Angle AOP = y

Angle BAP = Angle APQ = 90 °

So , Angle OAP = Angle OPA = 90 ° - 59 ° = 31 °

In triangle OAP .

=> Angle OAP + Angle AOP + Angle OPA = 180 °

=> 31 + y + 31° = 180 °

=> y = 180 ° - 62° = 118°

I hope it helps you