contestada

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°

Respuesta :

nowayonearth

Answer:

74

Step-by-step explanation:

Correct on ED

The measure of the angle ∠JNK of the given cyclic segment is;  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°

Divide both sides by 33 to get;

x = 330°/33

x = 10°

Angle ∠JNK = (5x + 24)° = 5(10) + 24

∠JNK = 74°

Read more about measure of angle at; https://brainly.com/question/14931690

#SPJ9

Otras preguntas