The measure of angle KJL is 108 degrees and the measure of angle LNM is 90 degrees.
To find the measure of angle KJL, we can use the fact that in triangle JKL, angle K is 72 degrees and side KL and KJ are equal.
Since the sum of angles in a triangle is 180 degrees, we can subtract angle K from 180 to find the sum of angles KJL and JKL.
So, the measure of angle KJL is 180 - 72 = 108 degrees.
To find the measure of angle LNM, we can use the fact that in triangle LMN, side LN and LM are equal.
Since the sum of angles in a triangle is 180 degrees, we can divide the sum of angles LNM and LMN by 2 to find each angle.
So, the measure of angle LNM is 180/2 = 90 degrees.
The probable question may be:
JKL and LMN are shown.
In triangle JKL, angle K is 72 degree side KL and KJ are equal.
In triangle LMN, side LN and LM are equal.
What is measure of angle KJL?
What is measure of angle LNM?