Question

(ma.912.gr.1.1)
two angles are complementary. the measure of the larger angle is 6° less than 3 times the measure of the smaller angle.
the measure of the smaller angle is degrees and the measure of the larger angle is degrees

Explanation:

Step1: Let smaller angle be $x$.

Larger angle is $3x - 6$.

Step2: Use complementary - angle property.

$x+(3x - 6)=90$.

Step3: Simplify the equation.

$4x-6 = 90$, then $4x=96$, $x = 24$.

Step4: Find larger angle.

$3x - 6=3\times24 - 6=66$.

Answer:

The measure of the smaller angle is 24 degrees and the measure of the larger angle is 66 degrees.