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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 Schlicht
by
5.3k points

2 Answers

10 votes
Angle 1
=180-62.8
=117.2

Angle 2
=180-117.2
=62.8
User Kamal Paliwal
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10 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 Jonathan Rys
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