Question

shondra wants to find the measure of angle jkl. her work is started. what is the measure of angle jkl?

1. $m\angle jkl = \frac{1}{2}(138 - 62)$

$m\angle jkl = \square^\circ$
(the circle has points m, n, l on its circumference, point k outside the circle, with arc $\overset{\frown}{mn}=62^\circ$, arc $\overset{\frown}{ml}=138^\circ$)

Explanation:

Step1: Calculate the difference of arcs

$138 - 62 = 76$

Step2: Multiply by $\frac{1}{2}$

$\frac{1}{2} \times 76 = 38$

Answer:

$38$