taylorrobenek taylorrobenek
  • 09-11-2020
  • Mathematics
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An angle measures 79.4 degrees more than the measure of its supplementary angle. What is the measure of each angle?

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absor201
absor201 absor201
  • 09-11-2020

Answer:

The angles are: 50.3 and 129.7

Step-by-step explanation:

The sum of supplementary angles is 180°.

Let x be one angle then the other angle will be x+79.4

Using the supplementary angle sum

[tex]x+x+79.4 = 180\\2x+79.4 = 180\\2x = 180-79.4\\2x = 100.6\\\frac{2x}{2} = \frac{100.6}{2}\\x = 50.3[/tex]

For the measurement of 2nd angle

x+79.4 => 50.3+79.4 => 129.7

Hence,

The angles are: 50.3 and 129.7

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