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Question

If the value of AOE=35°, then find the value of BOC.

A
35°
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B
45°
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C
55°
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D
65°
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Solution

The correct option is C 55°

Given AOB=90°,AOE=35°.

AOE=DOC=35° (Vertically opposite angles)

From the figure, we know that,
AOB+BOD=180° ( Linear pair)
90°+BOD=180°
BOD=180°90°=90°

But,
BOD=BOC+OCD
90°=BOC+35°
BOC=90°35°=55°

Hence the value of BOC=55°

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