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Question
In the following figure QP || RT. Find the values of x and y.
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Solution
QP || RT and PR is a transversal.
∴ ∠QPR = ∠PRT ...[Alternate interior angles]
⇒ x = 70°
Now, QP || RT and QR is a transversal.
∴ ∠PQR + ∠QRT = 180° ...[Co-interior angles]
⇒ 30° + y + 70° = 180°
⇒ y = 180° – 30° – 70° = 80°
Thus, x = 70° and y = 80°.
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