Question

In the given figure AB i CD ZAPQ = 50' and
ZPRD = 127. Find the value of x and y.
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Answer 1

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