Question

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Answer 1

Answer:

• x= 50
• y= 77

Step-by-step explanation:

hope it helps you

Answer 2

Answer:

x = 50° and y = 77°

Step-by-step explanation:

In the given Figure

AB || CD

So,

∠PRD = 127°

∠RPA = 50° + y°

∠PRD = ∠RPA    [Alternate interior Angles]

127° = 50° + y°

y° = 127° - 50°

y° = 77°

∠CRD = 180°

∠PRD = 127°

∠PRQ = ∠CRD - ∠PRD    [Supplementary Angles]

∠PRQ = 180° - 127°

∠PRQ = 53°

∠x + ∠y + ∠PRQ = 180°    [Angle Sum Property]

∠x + 77° + 53° = 180°

∠x + 130° = 180°

∠x = 50°