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14-05-2020
Mathematics

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The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?

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mathstudent55 mathstudent55

14-05-2020

Answer:

The measures are 2.5 deg and 177.5 deg.

Step-by-step explanation:

The ratio of the measures of larger angle to the smaller angle is 71:1.

71k + k = 180

72k = 180

k = 180/72

k = 2.5

71k = 71 * 2.5 = 177.5

Answer: The measures are 2.5 deg and 177.5 deg.

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