an angle is double than its complement.what is its measure?explain.
Let the required angle = x0
then measure of its complement = ( 90 - x )0
according to the given condition,
x = 2 ( 90 - x )
⇒ x = 180 - 2x
⇒ x + 2x = 180
⇒ 3x = 180 ⇒ x = 60
so, the measure of required angle = 600