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Question
In the following figure, if AB || CD, ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is ______.
Options
130°
50°
80°
30°
MCQ
Fill in the Blanks
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Solution
In the following figure, if AB || CD, ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is 80°.
Explanation:
Since, AB || CD and PR is a transversal
∴ ∠APR = ∠PRD ...[Alternate interior angles]
⇒ ∠APR = 130°
⇒ ∠APQ + ∠QPR = 130°
⇒ 50° + ∠QPR = 130°
⇒ ∠QPR = 130° – 50° = 80°
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