Answer:
m<JNM = 42 deg
Step-by-step explanation:
Here's what we need to do:
Angles JNM and KNL are vertical angles, so they are congruent. Their measures are equal. Set the expressions equal in an equation, and solve for x. Then use the value of x in the expression 4x + 6 and find the measure of the angle.
Now we do it:
4x + 6 = 7x - 21
-3x = -27
x = 9
m<JNM = 4x + 6 = 4(9) + 6 = 36 + 6 = 42
