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Two angles of linear pair are such that one is half of the other. Find their measures |
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Answer» Answer: Angles in a linear pair form a straight LINE with a total degree MEASURE of 180° If one angle in the pair is one HALF of the measure of the larger angle, we can relate them as such Smaller angle = x°
Larger angle = 2x°
given, the sum of the angles is 180°, so, x + 2x = 180°, => 3x = 180°, => x = 60° Therefore, the smaller angle be x° = 60°, and the larger angle be 2x° = 120°. |
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