Question

(d) problem 18: the measure of one of two complementary angles is 6 less than twice the measure of the other. find both angles. after you enter your answer press go.

Explanation:

Step1: Define the variables

Let one angle be $x$. The other is $2x - 6$.

Step2: Use the complementary - angle property

Since the two angles are complementary, $x+(2x - 6)=90$.

Step3: Simplify the equation

$3x-6 = 90$.

Step4: Solve for $x$

Add 6 to both sides: $3x=96$. Then divide by 3, $x = 32$.

Step5: Find the other angle

Substitute $x = 32$ into $2x - 6$, we get $2\times32-6=58$.

Answer:

32, 58