1

Problem

Find the measures of two supplementary angles. The larger angle is 3 times the measure of the smaller angle. What are the steps of both angles?

2

Step

Let x be the measure of the smaller angle. Then the larger angle is 3x.

3

Step

Since the two angles are supplementary, we have

x + 3x = 180°

4

Step

Now, we can solve for x to find the measure of the smaller angle

4x = 180°

5

Step

Divide both sides by 4

\$x = (180°)/4\$
⇒ 45°

3

Step

So, the smaller angle measures(x) 45 degrees.

4

Step

Now, to find the measure of the larger angle, which is 3 times the smaller angle, we simply multiply x by 3

3x = 3 × 45
⇒ 135°

5

Step

Therefore, the two supplementary angles are 45° and 135°.

6

Sumup

Please summarize Problem, Clue, Hint, Formula, Steps and Solution

Choices

7

Choice-A

The sum of these angles is 275°, not 180°, so this option is incorrect

Wrong 130°, 145°

8

Choice-B

The sum of these angles is 55°, not 180°, so this option is incorrect

Wrong 30°, 25°

9

Choice-C

The sum of these angles is 196°, not 180°, so this option is incorrect

Wrong 100°, 96°

10

Choice-D

It is correct because larger angle is 3 times the smaller angle and the sum is 180°

Correct 45°, 135°

11

Answer

Option

D

12

Sumup

Please summarize choices