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Two angles are supplementary angles if the sum of their measures is 180. Find two supplementary angles such that the measure of the first angle is 18 degrees less than three times the measure of the second. What is the measure of the first and second angle

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sierrawoelfel
3x-18+x=180
4x-18=180
198=4x
49.5=x

Angle 1 is 49.5 degrees
Angle 2 is 130.5 degrees

The first and the second angles are 49.5° and 130.5°.

The total sum of angles in a supplementary angle = 180°

Let the smaller angle be represented by x

Therefore, the larger angle will be:

= 3x - 18

We'll add the angles and then equate them to 180° and this will be:

x + 3x - 18 = 180°

4x = 180° + 18°

4x = 198°

x = 198°/4

x = 49.5°

The second angle will be:

= 3x - 18

= 3(49.5) - 18

= 148.5° - 18°

= 130.5°

Therefore, the first and the second angles are 49.5° and 130.5°.

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