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in the given figure, m∠1 = 36° and m∠2 = 38°. find ∠pqs. m∠pqs = °

Question

in the given figure, m∠1 = 36° and m∠2 = 38°. find ∠pqs. m∠pqs = °

Explanation:

Step1: Identify angle - addition property

The measure of $\angle PQS$ is the sum of the measures of $\angle 1$ and $\angle 2$.

Step2: Add the angle - measures

$m\angle PQS=m\angle 1 + m\angle 2$. Given $m\angle 1 = 36^{\circ}$ and $m\angle 2=38^{\circ}$, then $m\angle PQS=36^{\circ}+38^{\circ}$.
$m\angle PQS = 74^{\circ}$

Answer:

$74$