Question

in the figure below, m∠jkm = 155° and m∠2 = 89°. find m∠1.

Explanation:

Step1: Identify angle - relationship

We know that $\angle JKM=\angle 1+\angle 2$.

Step2: Solve for $\angle 1$

$\angle 1=\angle JKM - \angle 2$.
Substitute $\angle JKM = 155^{\circ}$ and $\angle 2=89^{\circ}$ into the formula: $\angle 1=155^{\circ}-89^{\circ}$.
$155 - 89 = 66$.

Answer:

$66$