3
Question
The picture represents a ruler and a compass construction of ∠POB, which measures _____ .
The picture represents a ruler and a compass construction of ∠POB, which measures _____ .
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Solution
The correct option is B 150°
Steps of construction:
(i) Draw a line segment AB.
(ii) Construct ∠COA = 60° at a point O on AB.
(iii) Bisect ∠COA to get ∠COP = 30° and ∠POA = 30°.
(iv) Thus, we get ∠POB = 150° (by linear pair axiom).
Steps of construction:
(i) Draw a line segment AB.
(ii) Construct ∠COA = 60° at a point O on AB.
(iii) Bisect ∠COA to get ∠COP = 30° and ∠POA = 30°.
(iv) Thus, we get ∠POB = 150° (by linear pair axiom).
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