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\\overleftrightarrow {eg} \\parallel \\overleftrightarrow {tv} and \\ov…

Question

\overleftrightarrow {eg} \parallel \overleftrightarrow {tv} and \overleftrightarrow {eg} \parallel \overleftrightarrow {qs}. complete the proof that ( m \angle srw + m \angle puv = 180 ^ { \circ } ).

Explanation:

Step1: Substitute angles

Since \(\angle SRW\cong\angle GFW\), we can substitute \(\angle GFW\) with \(\angle SRW\) in the equation \(m\angle GFW + m\angle PUV=180^{\circ}\).

Answer:

\(m\angle SRW + m\angle PUV = 180^{\circ}\) (by substitution property of equality, substituting \(\angle GFW\) with \(\angle SRW\) in the equation \(m\angle GFW + m\angle PUV = 180^{\circ}\))