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Question
The picture represents a ruler and a compass construction of ∠XPQ, which measures _____.
The picture represents a ruler and a compass construction of ∠XPQ, which measures _____.
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Solution
The correct option is C 135°
Steps of construction:
(i) Draw a line segment PQ.
(i) Construct ∠UPQ = ∠UPW = 90°.
(iii) Bisect ∠UPW to get ∠UPX = 45°.
(iv) Thus, we get ∠XPQ = 135°.
Steps of construction:
(i) Draw a line segment PQ.
(i) Construct ∠UPQ = ∠UPW = 90°.
(iii) Bisect ∠UPW to get ∠UPX = 45°.
(iv) Thus, we get ∠XPQ = 135°.
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