Question

look at this diagram:
if \\( \overrightarrow { tv } \\) and \\( \overrightarrow { wy } \\) are parallel lines and \\( m \angle vux = 59 ^ { \circ } \\), what is \\( m \angle wxu? \\)
submit
\\( \square ^ { \circ } \\)

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines ($\overleftrightarrow{TV}$ and $\overleftrightarrow{WY}$) are cut by a transversal ($\overleftrightarrow{ZS}$), consecutive interior angles are supplementary. That is, $m\angle VUX + m\angle WXU=180^{\circ}$.

Step2: Solve for $m\angle WXU$

We know that $m\angle VUX = 59^{\circ}$. Substitute into the equation:
$$m\angle WXU=180^{\circ}-m\angle VUX$$
$$m\angle WXU = 180^{\circ}- 59^{\circ}$$
$$m\angle WXU=121^{\circ}$$

Answer:

$121$