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Question

Observe the following figure and find the measure of angle ∠AOD.

A
100°
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B
120°
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C
140°
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D
150°
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Solution

The correct option is C 140°


We know,

COC=180 [straight angle]

So,
AOC+AOB+BOC=180

Substituting the given values, we get:

AOC+50+40=180

AOC=180(50+40)

AOC=18090

AOC=90

Similarly,

COD+DOC=180 [straight angle]

COD+130=180

COD=180130

COD=50

We know,
AOD=AOC+COD

AOD=90+50

AOD=140

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