Question

5. In Fig. 6.32, if AB || CD,
Angle APQ = 50° and
Angle PRD=127°, find x and y.​

Answer 1

Answer:

x = 50° and y = 77°

Step-by-step explanation:

∠APQ = ∠PQR (Alternate interior angles)

∴x = 50°

x and ∠QPR = ∠PRD (Exterior angle property)

∴y + 50° = 127°

y = 77°

Answer 2

Answer:

Angle APQ = Angle PQR -(interior alternate angles)

X = 50°

Angle PRD = Angle APR

127 = 50°+ y

y = 127-50

y = 77°

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