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°\$

6

Step

So, the smaller angle measures 45 degrees.

7

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 \times 45 = 135°\$

8

Solution

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

9

Sumup

Please summarize steps

Choices

10

Choice-A

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

Wrong 130°, 145°

11

Choice-B

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

Wrong 30°, 25°

12

Choice-C

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

Wrong 100°, 96°

13

Choice-D

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

Correct 45°, 135°

14

Answer

Option

D

15

Sumup

Please summarize choices