Question

If the measure of ∠TML is 104 degrees, what is the measure of ∠LMV?

A) 52 degrees
B) 104 degrees
C) 208 degrees
D) 156 degrees

Answer 1

The measure of ∠LMV is 76 degrees.

Step-by-step explanation:

To find the measure of ∠LMV, we need to use the fact that the angles in a triangle add up to 180 degrees. Since ∠TML is 104 degrees and the other two angles in the triangle are equal in measure, we can subtract 104 from 180 to find the measure of each of the other two angles. So, each of the other two angles is 180 - 104 = 76 degrees. Since ∠LMV is one of the other two angles and they are equal in measure, ∠LMV is also 76 degrees. Therefore, the measure of ∠LMV is 76 degrees.