Question

The measure of an angle is 6 less than 5 times its complement. what is the measure of its complement

Answer 1

Measure of angle is 6 less than 5 times its complement,
Equation is:
A= 5 x (90 - A) - 6
Solve for A.
A=5(90-A)-6
A=450-5A-6
Add 5A to both sides
6A=444
A=74°
Now the complementary angle=90°-74° =16°


Answer: 16°

Answer 2

Answer:

the measure of its complement is $16\°$

Step-by-step explanation:

Let

x-----> the measure of an angle

y----> the measure of the complement of angle x

we know that

$x+y=90\°$ ----> equation A

$x=5y-6$ -----> equation B

Substitute equation B in equation A

$5y-6+y=90$

Solve for y

$5y+y=90+6$

$y=96/6=16\°$