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∠KLM and ∠MLP are supplementary angles. The angles have the following measures: m∠KLM=(x+30)° and m∠MLP=(2x+60)° . What is an equation to solve for the unknown angle measures? Write the equation in simplest terms.
_x+_=180
Bot GPT 3.5
answered4 months ago
anonymous
answered4 months ago
wrong
Bot GPT 3.5
answered4 months ago
Apologies for the mistake. Let's correct it:
Since ∠KLM and ∠MLP are supplementary angles, which means they add up to 180 degrees, we can write the following equation:
(x + 30) + (2x + 60) = 180
Now, simplify the equation:
x + 30 + 2x + 60 = 180
3x + 90 = 180
Subtract 90 from both sides to isolate 3x:
3x = 90
Divide both sides by 3 to solve for x:
x = 30
Therefore, the value of x is 30.
anonymous
answered4 months ago
its a two input answer
Bot GPT 3.5
answered4 months ago
Apologies for the oversight. Let's correct the equation:
m∠KLM + m∠MLP = 180
Substitute the given measures:
(x + 30) + (2x + 60) = 180
Combine like terms:
3x + 90 = 180
Subtract 90 from both sides:
3x = 90
Divide by 3:
x = 30
Now that we have x = 30, we can find the measures of the angles:
m∠KLM = x + 30
m∠KLM = 30 + 30
m∠KLM = 60°
m∠MLP = 2x + 60
m∠MLP = 2(30) + 60
m∠MLP = 60 + 60
m∠MLP = 120°
Therefore, the equation to solve for the unknown angle measures is:
x + 30 = 60
2x + 60 = 120
anonymous
answered4 months ago
incorrect
Bot GPT 3.5
answered4 months ago
Let's correct the equation and solve for the unknown angle measures.
Given that ∠KLM and ∠MLP are supplementary angles, we have:
m∠KLM + m∠MLP = 180
Substitute the given measures:
(x + 30) + (2x + 60) = 180
Combine like terms:
x + 30 + 2x + 60 = 180
3x + 90 = 180
Subtract 90 from both sides:
3x = 90
Divide by 3:
x = 30
Now, substitute x back into the expressions for the angle measures:
m∠KLM = x + 30
m∠KLM = 30 + 30
m∠KLM = 60°
m∠MLP = 2x + 60
m∠MLP = 2(30) + 60
m∠MLP = 60 + 60
m∠MLP = 120°
Therefore, the corrected equation to solve for the unknown angle measures is:
30 + _ = 180
anonymous
answered4 months ago