Question

the measure of angle r is 6 less than 5 times its complement. what is the measure of the complement of angle r?
o 16
o 74
o 45
o 90

Explanation:

Step1: Let the measure of angle R be $x$ and its complement be $90 - x$.

Set up the equation: $x=5(90 - x)-6$.

Step2: Expand the right - hand side.

$x = 450-5x - 6$.

Step3: Combine like terms.

$x+5x=450 - 6$.
$6x=444$.

Step4: Solve for $x$.

$x=\frac{444}{6}=74$.

Step5: Find the complement of angle R.

The complement of angle R is $90 - 74=16$.

Answer:

16