Question

two angles are supplementary. the measure of the larger angle is 12 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: Define variables

Let smaller angle be \( x \), larger angle be \( 3x - 12 \).

Step2: Set up equation (supplementary angles sum to 180°)

\( x + (3x - 12) = 180 \)

Step3: Simplify and solve for \( x \)

\( 4x - 12 = 180 \Rightarrow 4x = 192 \Rightarrow x = 48 \)

Step4: Find larger angle

\( 3(48) - 12 = 132 \)

Answer:

48, 132