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An angle measures 62.8° less than the measure of its supplementary angle. What is the measure of each angle?

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An angle measures 62.8° less than the measure of its supplementary angle. What is-example-1
User Richard Fuhr
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2 Answers

10 votes
10 votes
Angle 1
=180-62.8
=117.2

Angle 2
=180-117.2
=62.8
User Berrin
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21 votes
21 votes

One angle measures 58.6 degrees, and its supplementary angle would be 121.4 degrees.

To solve this problem, let's use algebra. Let's assume the measure of one angle is x degrees. The measure of its supplementary angle would then be 180 - x degrees. According to the problem, the given angle is 62.8 degrees less than its supplementary angle. So, we can write the equation:

x = (180 - x) - 62.8

Simplifying the equation, we have:

2x = 117.2

x = 58.6

Therefore, one angle measures 58.6 degrees, and its supplementary angle would be 180 - 58.6 = 121.4 degrees.

User StackUser
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