Question

fill in the blanks: an angel is 4 time its complement,then the measure of the angle is. ​

Answer 1

Answer:

angle=22.5

complement=90/4=22.5

Answer 2

Step-by-step explanation:

Given :-

an angel is 4 time its complement

To find :-

the measure of the angle

Solution:-

Let the angle be X°

The complementary angle of X°= 90°-X°

Given that ,

The angle is 4 times to its complement.

=> X°= 4(90°-X°)

=>X°= 360°-4X°

=>X°+4X°=360°

=>5X°= 360°

=>X°= 360°/5

=>X°=72°

The angle is 72°

Answer:-

The required angle is 72°

Check:-

The angle is 72°

It's complementary angle = 90°-72°=18°

4times it's complement=4×18°=72°

=> The angle.

verified

Used Concept:-

The sum of two angles is 90° they are called complementary angles.

The angle is X° then it's Complement is 90°-X°