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Question

In the adjoining figure 1.53 find the measures of AOC and BOC

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Solution

According to the figure, we have,
AOC + BOC = 180° (Linear pair)3x+5°+2x-25° =180°5x -20° = 180°5x = 180+205x = 200x = 40Thus, AOC = 3x+5° = 3×40+5°= 125°Also, BOC = 2x-25°= 2×40-25°= 55°

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