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Question

In the given square ABCD, a line segment DE cuts the side BC at E and the diagonal AC at O such that COD=120. Find the measure of OEC.

A
60
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B
65
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C
70
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D
75
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Solution

The correct option is D 75
Given: COD=120

We know that, EOC+ COD=180 EOC+120=180 EOC=60

We know that, the diagonals of a square bisect its angles.

Here, AC is the diagonal.Hence, OCE=OED=45

In OCE,
OCE+ EOC+ OEC=180
45+60+ OEC=180
OEC=180105
OEC=75

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