Question

In circle N, KL ≅ ML.

Circle N is shown. Line segments N J, N M, N L, and N K are radii. Lines are drawn to connect each point on the circle to create secants J M, M L, L K, and K J. M L and K L are congruent. The measure of arc J K is (5 x + 24) degrees, the measure of arc J M is (13 x + 2) degrees, the measure of arc M L is (8 x minus 3) degrees, and the measure of arc K L is (7 x + 7) degrees.

What is the measure of ∠JNK?

66°
74°
77°
80°

Answer 1

Answer:

74 degrees

Step-by-step explanation:

Answer 2

The measure of ∠JNK is; B: 74°

What is the measure of the angle?

From given figure, it's clear that, sum of angles equals 360°

(5x + 24)° + (7x + 7)° + (8x - 3)° + (13x + 2)° = 360°

33x + 30° = 360°

33x = 360° - 30°

33x = 330°

x = 330°/33

x = 10°

∠JNK = (5x + 24)° = 5(10) + 24

∠JNK = 74°

Read more about measure of angle at; https://brainly.in/question/16344158