Question

an angle is double its complement .find the angle

Answer 1

The definition of the complement of an angle is the angle that when added to the first equals 90 degrees. If an angle is twice its complement, you can represent one angle as x and the other as 2x. Since they are complements, their sum is 90 degrees. This means that one angle is 30 deg.

Answer 2

Answer:

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Let the angle be x

Complementary angle = (90-x)

According to problem

$x = 2(90 - x) \\ = > \:x = 180 - 2x \\ = > x + 2x = 180 degree \\ 3x = 180 \: degree \\ x = \frac{180}{3} = 60 \: degree \\ angle \: = 60 \: degree \\ complement \: = (90 \: - 60) = 30$