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Question

In the figure below, a ray OC extends from a point O on a straight line AB. If AOC = 135. Find ( BOC3).


A

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B

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C

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D

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Solution

The correct option is C


Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so alinear pair of angles must add up to 180 degrees

AOC + BOC = 180 (linear pair of angles)

AOC = 135 (given)

135 + BOC = 180

BOC = 180 - 135

BOC = 45
( BOC3) = 453 = 15


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