Find the measure of the arc or angle indicated. Provide a perfect solution.

Given: Arc JL = 72, Arc LK = 88
Need: Angle L

Choices:

A) 100
B) 143
C) 142
D) 137

C) 142

Solution:

We can use the formula for the measure of an angle formed by two arcs:

Angle L = (Arc JL + Arc LK) / 2

Angle L = (72 + 88) / 2

Angle L = 160 / 2

Angle L = 80

Therefore, the measure of Angle L is 80 degrees.