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Two angles are supplementary. One angle measures 42 degrees more than twice the measure of the other angle.
Find the measure of each angle.
solve with systems of equations

Respuesta :

180 = y + x
180 = (2x + 42) + x

138 = 3x

x = 46
y = 134
MrRoyal

The measure of the angles are 46 and 134 degrees, respectively

How to determine the measure of the angles?

Let the angles be x and y.

So, we have:

y = 42 + 2x

x + y = 180 ----- supplementary angles

Substitute y = 42 + 2x in x + y = 180

x + 42 + 2x = 180

Evaluate the like terms

3x = 138

Divide by 2

x = 46

Substitute x = 46 in y = 42 + 2x

y = 42 + 2 * 46

Evaluate

y = 134

Hence, the measure of the angles are 46 ad 134 degrees

Read more about supplementary angles at:

https://brainly.com/question/12919127

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