Can someone help me solve the answer please?

  m∠MON = 99°

Step-by-step explanation:

A "straight angle" has a measure of 180°, so the two given angles will have that value as their sum.

  m∠MON +m∠LOM = m∠LON

  (8x -13°) +(7x -17°) = 180°

  15x -30° = 180° . . . . collect terms

  x -2° = 12° . . . . . . . . divide by 15

  x = 14° . . . . . . . . . . . add 2°

Now we can find the measures of the angles.

  m∠MON = 8x -13° = 8(14°) -13°

  m∠MON = 99°

Check

m∠LOM = 7x -17° = 7(14°) -17° = 81°

The sum of 81° and 99° is 180°, as it should be.

40 is the final : )

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