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wy || vp, where rz is a transversal. given m∠rtv = 141° and m∠wxz = 39°…

Question

wy || vp, where rz is a transversal. given m∠rtv = 141° and m∠wxz = 39°, complete the statement. the m∠yxz = because and ∠yxz are .

Explanation:

Step1: Identify angle - relationship

$\angle RTV$ and $\angle YXZ$ are corresponding angles since $\overleftrightarrow{WY}\parallel\overleftrightarrow{VP}$ and $\overleftrightarrow{RZ}$ is a transversal.

Step2: Use corresponding - angles property

Corresponding angles formed by parallel lines and a transversal are congruent. Given $m\angle RTV = 141^{\circ}$, so $m\angle YXZ=m\angle RTV$.

Answer:

The $m\angle YXZ = 141^{\circ}$ because $\angle RTV$ and $\angle YXZ$ are corresponding angles.