MATHEMATICS HIGH SCHOOL

Two angles are supplementary. The measure of the larger angle is 18 less than twice the measure of the smaller angle. Find the measure of the angles. Show your work.

Answers

Answer 1

Answer:

Smaller angle = 66 degrees

Larger angle = 114 degrees

Step-by-step explanation:

Smaller angle: x

Larger angle: 2x - 18

x + 2x - 18 = 180 degrees

3x = 180 + 18

x = 198/3

x = 66

180 - 66 = 114

Answer 2

Answer:

Final answer:

The measure of the smaller angle is 66 degrees and the measure of the larger angle is 114 degrees.

Explanation:

Let's represent the measure of the smaller angle as x. According to the problem, the larger angle is 18 less than twice the measure of the smaller angle, so we can represent the larger angle as 2x - 18.

Since the two angles are supplementary, their sum is 180 degrees:

x + (2x - 18) = 180

Solving this equation, we get:

3x - 18 = 180

3x = 198

x = 66

Therefore, the measure of the smaller angle is 66 degrees and the measure of the larger angle is 2(66) - 18 = 114 degrees.

Learn more about Angles here:

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