Question

Find m of angle ZLK if m of angle ZLK= x+86, m of angle MLK =130 degrees, and m of angle MLZ = x+ 66

Answer 1

We know that the sum of the angles in triangle MLK is 180 degrees. Therefore, we can find the measure of angle KLM as follows:

m∠MLK + m∠KLM + m∠LMK = 180

130 + m∠KLM + m∠LMZ = 180

We also know that angles ZLK and MLZ are vertical angles, so they are congruent. Therefore:

m∠ZLK = m∠MLZ

x + 86 = x + 66

86 = 66

This is a contradiction, so there is no value of x that satisfies the given conditions. Therefore, we cannot find the measure of angle ZLK.