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in the figure below, m∠2 = 26° and m∠kjl = 74°. find m∠1.

Question

in the figure below, m∠2 = 26° and m∠kjl = 74°. find m∠1.

Explanation:

Step1: Identify angle - relationship

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

Step2: Solve for $\angle1$

$\angle1=\angle KJL - \angle2$.
Substitute $\angle KJL = 74^{\circ}$ and $\angle2 = 26^{\circ}$ into the formula: $\angle1=74^{\circ}-26^{\circ}$.
$74 - 26=48$.

Answer:

$48$