Question

the measure of angle jkl is 120°. the measure of angle mkl is 45°. the measure of angle jkm is x°. find the value of x.

Explanation:

Step1: Identify angle - relationship

We know that $\angle{JKL}=\angle{JKM}+\angle{MKL}$.

Step2: Rearrange the formula to solve for $\angle{JKM}$

$x=\angle{JKM}=\angle{JKL}-\angle{MKL}$.

Step3: Substitute the given values

Given $\angle{JKL} = 120^{\circ}$ and $\angle{MKL}=45^{\circ}$, then $x = 120 - 45$.

Step4: Calculate the result

$x=75$.

Answer:

$75$