Question

In right triangle JKL, where angle J = 60 degrees and angle K = 30 degrees, the angle bisectors intersect at M. What is the measure of obtuse angle JMK?

A) 90 degrees
B) 120 degrees
C) 135 degrees
D) 150 degrees

Answer 1

The measure of obtuse angle JMK in right triangle JKL is 90 degrees.

Step-by-step explanation:

In a right triangle JKL, where angle J = 60 degrees and angle K = 30 degrees, the angle bisectors intersect at point M. Since angle J is 60 degrees, angle JMK must be half of that, which is 30 degrees. Therefore, the measure of obtuse angle JMK is 180 degrees - angle J - angle K, which is 180 degrees - 60 degrees - 30 degrees = 90 degrees.