Question

what angle is equal to 2 times its complement

Answer 1

I hope it helps...........

Answer 2

Answer:

60°

Step-by-step explanation:

Let the angle be x

Complementary angles :A pair of angles whose sum is 90°

So, Complement of x = 90°-x

Now we are given that x  is equal to 2 times its complement

So, $x = 2(90^{\circ}-x)$

$x = 180^{\circ}-2x$

$x+2x = 180^{\circ}$

$3x =180^{\circ}$

$x = \frac{180}{3}$

$x = 60^{\circ}$

Hence An angle which is equal to 2 times its complement is 60°