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if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel l…

Question

if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle stq = 66^{circ}$, what is $mangle rqo$?

Explanation:

Step1: Identify angle - relationship

$\angle STQ$ and $\angle RQO$ are corresponding angles.

Step2: Apply parallel - lines property

For parallel lines $PR$ and $SU$, corresponding angles are equal. So $m\angle RQO=m\angle STQ$.

Answer:

$66$