Question

plzzz do it fast
find x and y​

Answer 1

Answer:

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Answer 2

Since AB || CD, PR is a traversal. So angleAPR = anglePRD

--> APQ + QPR = PRD

--> 50 + QPR = 127

--> QPR = y = 77 degrees.

Now since CD is a straight line, angleCRD = 180 degrees

--> CRP + PRD = 180

--> CRP + 127 = 180

--> CRP = 53 degrees.

Now by angle sum property of triangle:

PQR + CRP + QPR = 180

--> x + 53 + 77 = 180

--> x + 130 = 180

--> x = 50 degrees.

Hence x = 50 degrees and y = 77 degrees.

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