Question

30 POINTS! HURRY I WILL MARK BRAINLIEST!!
The measure of an angle is 5 less than 4 times its complement. Find the
measure of both angles.
**Measure of the angle =
**Measure of Complement =

Answer 1

Answer:

1. the measure of the complement would be= 17

2. the measure of the angle is= 73

Step-by-step explanation:

Step 1.

Let its complementary angle be x, then the angle itself is 4x + 5.

As an angle plus its complement is equal to90 degrees, we have

x + 4x + 5 = 90

5x + 5 = 90

Step 2.

subtract 5 without the variable

then subtract 5 from 90

5x = 85

divide 85 by 5

x = 17

So the angle's complement is 17 degree.

the angle is 90 - 17 = 73 degrees.