Two angles are supplementary. one angle is 5 degrees more than 6 times the other. find the measure of each angle

Question

Jags

Mathematics

19 June, 01:03

Two angles are supplementary. one angle is 5 degrees more than 6 times the other. find the measure of each angle

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Answers (1)

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Ellen Perkins · Answer 1

Let x and y be the two angles;

We have the equation: x + y = 180 and x = 5 + 6y;

Then, 5 + 7y = 180;

Finally, 7y = 175;

y = 25 degrees;

x = 180 - 25;

x = 155 degrees;