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in the figure below, m∠2 = 56°. find m∠1. m∠1 = °

Question

in the figure below, m∠2 = 56°. find m∠1. m∠1 = °

Explanation:

Step1: Note angle - sum property

The two angles are complementary, so $m\angle1 + m\angle2=90^{\circ}$.

Step2: Solve for $m\angle1$

$m\angle1=90^{\circ}-m\angle2$.
Substitute $m\angle2 = 56^{\circ}$, then $m\angle1=90 - 56$.

Answer:

$34$