Final answer:
To find the measure of angle M, subtract the sum of angles H and L from 180 degrees.
Step-by-step explanation:
To find the measure of angle M, we can use the fact that the sum of the measures of angles in a triangle is always 180 degrees. Given that angle H has a measure of 13 degrees and angle L has a measure of 24 degrees, we can subtract the sum of these angles from 180 to find the measure of angle M.
180 - 13 - 24 = 143 degrees.