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Question -

The measure of an angle is twice the measure of its supplementary angle. Find its measure.



Answer -

Let the required angle = x
∴  Its supplementary angle = 180° – x
∴  x = 2(180°-x) = 360°-2x
⇒  x + 2x = 360°
⇒ 3x = 360°
⇒  x == 120°
∴  Required angle = 120°

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