Answer:
<M = 23
Explanation:
In this figure, both triangles are congruent to each other. This means that all of the sides and angle measures are equal. Triangle XYZ is the same as MNL, however, it is flipped upside down. If you flip it back to the same shape, you can see that <X is equal to <L.
<L = 33
<N = 124
<M = ?
We can remember that the sum of the three angles in a triangle are always equal to 180. Therefore, we will add up all of the angles to equal 180.
<L + <N + <M = 180
Substitute values in.
33 + 124 + <M = 180
157 + <M = 180
Subtract 157 on both sides.
<M = 23