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KLM and MLP are supplementary angles. The angles have the following measures: mKLM= (x+30) and mMLP= (2x+60). What is an equation to solve for the unknown angle measures? Write the equation in simplest terms. (1 point)
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GPT 3.5
Since KLM and MLP are supplementary angles, their measures add up to 180 degrees.
Therefore, we can write the equation:
(x + 30) + (2x + 60) = 180
Simplifying this equation gives:
3x + 90 = 180
Subtracting 90 from both sides, we get:
3x = 90
Dividing by 3 gives:
x = 30
Therefore, the measure of angle KLM is:
x + 30 = 30 + 30 = 60 degrees
And the measure of angle MLP is:
2x + 60 = 2(30) + 60 = 60 + 60 = 120 degrees
So, the equation to solve for the unknown angle measures is:
mKLM = 60 and mMLP = 120
Therefore, we can write the equation:
(x + 30) + (2x + 60) = 180
Simplifying this equation gives:
3x + 90 = 180
Subtracting 90 from both sides, we get:
3x = 90
Dividing by 3 gives:
x = 30
Therefore, the measure of angle KLM is:
x + 30 = 30 + 30 = 60 degrees
And the measure of angle MLP is:
2x + 60 = 2(30) + 60 = 60 + 60 = 120 degrees
So, the equation to solve for the unknown angle measures is:
mKLM = 60 and mMLP = 120
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