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Question

In the following figure, if OQ is angle bisector of ∠POA, then 2 × ∠POQ = _____

A
∠QOA
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B
∠ POQ + QOA
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C
90
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D
∠POA
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Solution

The correct options are
B ∠ POQ + QOA
C 90
D ∠POA
An angle bisector divides an angle into two equal halves.
∠POQ = ∠QOA = 45
2 × ∠POQ = 2 × 45 = 90
∠POQ + ∠QOA = 45 + 45 = 90
∠POA = ∠POQ + ∠QOA = 45 + 45 = 90

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