Question

The measure of angle JKL can be represented using the expression 3x + 5.

Point K has three lines extending from it. One line extends to point J, another to point M, and the other to point L. Angle J K M is 45 degrees. Angle M K L is x degrees.
What is the degree measure of AngleJKL?

°

Answer 1

Angle JKL = angle JKM + angle MKL = 45 + x.
Given 3x + 5 = 45 + x → 2x = 40 → x = 20.
So angle JKL = 3x + 5 = 3(20) + 5 = 65°.

Answer: 65°.