Question

in the figure below, m∠2 = 64° and m∠kjl = 153°. find m∠1.

Explanation:

Step1: Recall angle - addition postulate

We know that $\angle KJL=\angle1 + \angle2$.

Step2: Solve for $\angle1$

Rearrange the equation to get $\angle1=\angle KJL-\angle2$.
Substitute $m\angle2 = 64^{\circ}$ and $m\angle KJL = 153^{\circ}$ into the equation. So, $m\angle1=153 - 64$.
$m\angle1 = 89^{\circ}$

Answer:

$89$