Question

ixl topics: parallel lines with a transversal- geometry d.3, d.4, slope and slope - intercept equations- geometry e.1, segment addition postulate, angle addition postulate. use the following figure to answer #1 - 6. 7. if ∠jkm = 45 and ∠jkl = 115, what does ∠mkl equal?

Explanation:

Step1: Identify angle - addition relationship

By the Angle - Addition Postulate, $\angle{JKL}=\angle{JKM}+\angle{MKL}$.

Step2: Solve for $\angle{MKL}$

We can rewrite the equation as $\angle{MKL}=\angle{JKL}-\angle{JKM}$.
Substitute $\angle{JKM} = 45^{\circ}$ and $\angle{JKL}=115^{\circ}$ into the equation: $\angle{MKL}=115 - 45$.
$\angle{MKL}=70^{\circ}$

Answer:

$70^{\circ}$