Question

Given m∠LON is a straight angle. m∠MON = 83°. m∠LOM = 55°. Find m∠MON.

Answer 1

To find the measure of ∡MON when ∡LON is a straight angle and the measure of ∡LOM is given, subtract the measure of ∡LOM from 180°. The measure of ∡MON is 125°.

Step-by-step explanation:

The student is asking to find the measure of ∡MON given that ∡LON is a straight angle, and they've provided the measures of ∡MON and ∡LOM. Since the sum of the angles that form a straight line is 180°, we can find ∡MON by subtracting the measure of ∡LOM from 180°.

Here's the step-by-step calculation:

1. Determine the sum of the measures of angles that form a straight line (180°).
2. Subtract the given measure of ∡LOM (55°) from 180°.
3. The result is the measure of ∡MON.

180° - 55° = 125°

Therefore, the measure of ∡MON is 125°.