Question

An angle is 24 degree more than its complement. What is the measure of the angle

Answer 1

Good morning..... ☺️

Explanation:

An angle is 24 degrees more than its complement. 
let the complement angle=x
then the angle=x+24
as they are complement
then x+x+24=90
or 2x=90-24=66
or x=33
the angle=33+24=57

Answer 2

Answer:

The measure of angle is 57°

Step-by-step explanation:

Given that an angle is 24 degree more than its complement.

we have to find the measure of an angle

Let the complement angle=x°

∴ the angle which is 24 degree more than its complement is the (x+24)°

As both angles are complementary angles therefore their sum equals to 90°

⇒ $x+x+24=90^{\circ}$

$2x=90-24=66^{\circ}$

$x=33^{\circ}$

Hence, the angle which is 24 degree more than its complement is the (33+24)°=57°