Q. 395.0( 2 Votes )
Find the measure of an angle, if five times its complement is 12° less than twice its supplement.
Answer :
Let x be the angle.
According to question,
(90 - x)° is the complementary angle.
(180 - x)° is the supplementary angle.
According to question,
5 X (90 - x) =2 X (180 -x) -12
450 – 5x = 360 – 2x – 12
3x = 450 – 348
3x = 102
x = 34°
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