two angles are supplementary of the sum is 180. the larger angle measures four degrees more than sevem times the measure of a smaller angle. of x represents the measure of the smaller angel and these two angles are supplementary find the measure of each angle.

Question

Mathematics

Preston Delacruz

10 October, 07:56

two angles are supplementary of the sum is 180. the larger angle measures four degrees more than sevem times the measure of a smaller angle. of x represents the measure of the smaller angel and these two angles are supplementary find the measure of each angle.

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Answers (1)

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Angeline Winters · Answer 1

22 and 158

Step-by-step explanation:

Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.

"the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4. "x represents the measure of the smaller angle" is represented as x.

x + 7x+4 = 180

8x+4=180

8x=176

x = 22

This is the measure of the smaller angle. The larger angle is 7 (22) + 4 = 158