Question

two chords intersect in circle o as shown.
what is $m\angle mlk$?
enter your answer in the box.

Explanation:

Step1: Recall intersecting chords angle rule

The measure of an angle formed by two intersecting chords is half the sum of the measures of the intercepted arcs.

Step2: Identify intercepted arcs

The intercepted arcs for $\angle MLK$ are $\overset{\frown}{MK}$ ($139^\circ$) and $\overset{\frown}{PJ}$ ($41^\circ$).

Step3: Calculate the angle

Compute half the sum of the arc measures:
$\frac{1}{2} \times (139^\circ + 41^\circ) = \frac{1}{2} \times 180^\circ$

Answer:

$90^\circ$