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5 votes
If m∠OLN = 31° and m∠MLO = 52°, what is m∠MLN?

A. 83°
B. 121°
C. 17°
D. 35°

1 Answer

4 votes

Final answer:

The measure of angle MLN is calculated by subtracting the sum of the given angles OLN and MLO from 180 degrees, which gives us 97 degrees.

Step-by-step explanation:

To find the measure of angle MLN, we need to know that the sum of the angles in a triangle equals 180 degrees. We are given m∠OLN = 31° and m∠MLO = 52°. These two angles are adjacent to angle MLN, forming a triangle. Therefore, to find m∠MLN, we subtract the sum of m∠OLN and m∠MLO from 180°:

  • m∠MLN = 180° - (m∠OLN + m∠MLO)
  • m∠MLN = 180° - (31° + 52°)
  • m∠MLN = 180° - 83°
  • m∠MLN = 97°

The correct answer is 97° which isn't provided in the multiple choices. It seems there might be a mistake either in the provided choices or in the question itself.

User Anton Sinelnyk
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