Question

In figure, if AB CD, = 50⁰ and = 127⁰, find x and y.​

Answer 1

Step-by-step explanation:

∠PQR=∠APQ (Alternate angle)

x=50

∘

∠PRQ+∠PRD=180

∘

∠PRQ+127

∘

=180

∘

∠PRQ=180

∘

−127

∘

=53

∘

∠PQR+∠QPR+∠PRQ=180

∘

(Angle sum property of trianlge

x+y+53

∘

=180

∘

50

∘

+y+53

∘

=180

∘

y=180

∘

−103

∘

=77

∘

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