The supplement of an angle is six times its complement. The measure of this angle is
(a) 36°
(b) 54°
(c) 60°
(d) 72°

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Solution

(d) 72°

Let the required angle be $x °$ .
Then, measure of its supplement = $(180 - x) °$ and
measure of its complement = $(90 - x) °$ .
$∴ 180 - x = 6 (90 - x) \Rightarrow 5 x = 360 ° \Rightarrow x = 72 °$

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