Find the measure of angle AOD, if angle BOE is a straight angle.

37^{\circ}

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139^{\circ}

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157^{\circ}

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127^{\circ}

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Solution

The correct option is C $157^{\circ}$
Since angle BOE is a straight angle,

BOC + COD + DOE = 180°

BOC + 102° + 41° = 180°

BOC = 180° – 102° – 41°

BOC = 37°

So, angle AOD = AOB + BOC + COD
= 18° + 37° + 102°
= 157°

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