Write an equation that will solve this problem: Two angles are supplementary. If the measure of the second angle is 3 times the sum of the measure of the first angle and 25, find the measures of the two angles.

Question

Ashanti Mercer

Mathematics

28 January, 05:12

Write an equation that will solve this problem: Two angles are supplementary. If the measure of the second angle is 3 times the sum of the measure of the first angle and 25, find the measures of the two angles.

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Answers (1)

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Demarion Wilkins · Answer 1

X = measure of 1st angle

y = measure of 2nd angle

x + y = 180

y = 3 (x+25)

Therefore,

x + 3 (x+25) = 180

x + 3x + 75 = 180

4x = 105

x = 26.25

So the measure of the 1st angle is 26.25 and the 2nd is 153.75