Question

please answer all the questions ​

Answer 1

Answer: x = 60°

Step-by-step explanation:

Draw as per the attachment: PQ║OA║CD.

=> ∠OAB + ∠PBA = 180°     (Adjacent Angles)

=> 110° + ∠PBA = 180°

=> ∠PBA = 180° - 110°

=> ∠PBA = 70°

∠DCB + ∠QBC = 180°     (Linear Pair)

=> 130° + ∠QBC = 180°

=> ∠QBC = 180° - 130°

=> ∠QBC = 50°

In line PQ,

∠PBA + ∠ABC + ∠QBC = 180°    (Linear Angles)

=> 70° + x + 50° = 180°

=> 120° + x = 180°

=> x = 180° - 120°

=> x = 60°