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Question
The picture represents a ruler and compass construction of ∠POB, which measures 150°. If we bisect it twice, then we will get an angle of measure ______.
The picture represents a ruler and compass construction of ∠POB, which measures 150°. If we bisect it twice, then we will get an angle of measure ______.
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Solution
The correct option is B 37.5°
Given: ∠POB = 150°
After the first bisection of ∠POB, we get two equal angles of measure 75°.
On bisecting any of these two 75° angles again, we get two equal angles of measure 37.5°.
Given: ∠POB = 150°
After the first bisection of ∠POB, we get two equal angles of measure 75°.
On bisecting any of these two 75° angles again, we get two equal angles of measure 37.5°.
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