Question

look at this diagram: if ik and ln are parallel lines and m∠lmj = 136°, what is m∠kjm?

Explanation:

Step1: Identify angle - relationship

$\angle LMJ$ and $\angle KJM$ are supplementary angles since they are a linear - pair of angles formed by the intersection of two lines.

Step2: Use the supplementary - angle property

The sum of two supplementary angles is $180^{\circ}$. Let $m\angle KJM=x$. We know that $m\angle LMJ + x=180^{\circ}$. Given $m\angle LMJ = 136^{\circ}$, then $x = 180^{\circ}-m\angle LMJ$.

Step3: Calculate the angle measure

$x=180 - 136=44^{\circ}$.

Answer:

$44$