Question

if AB||CD, ANGLE APQ = 50° AND ANGLE PRD =127° FIND X AND Y​

Answer 1

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Given :

• AB || CD

• ∠APQ = 50°

• ∠PRD = 127°

To Find :

• Value of x and y

Solution :

∠APQ = x = 50° [ Alternate Interior Angle ]

∠PRD = ∠APR = 127° [ Alternate Interior Angle ]

➨∠APR = ∠APQ + ∠y

➨127° = 50° + ∠y

➨∠y = 127° - 50°

➨∠y = 77°

Additionally :

• Angle Sum Property of triangle is 180°

• Angle Sum Property of quadrilateral is 360°

• Sum of angles in a straight line is 180°

• Linear Pair = 180°