Question

look at this diagram:
if \\( \overleftrightarrow { r t } \\) and \\( \overleftrightarrow { u w } \\) are parallel lines and \\( m \angle w v s = 65 ^ { \circ } \\), what is \\( m \angle w v x \\)?

Explanation:

Step1: Use the property of supplementary angles

Since \( \angle WVS\) and \( \angle WVX\) are supplementary angles (they form a linear - pair), and the sum of the measures of supplementary angles is \(180^{\circ}\).
Let \(m\angle WVX = x\) and \(m\angle WVS=65^{\circ}\). Then the equation is \(x + 65^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(x\)

Subtract \(65^{\circ}\) from both sides of the equation \(x+65^{\circ}=180^{\circ}\).
\(x = 180^{\circ}-65^{\circ}\)
\(x = 115^{\circ}\)

Answer:

\(115\)