Question

look at this diagram:

if ( overleftrightarrow{tv} ) and ( overleftrightarrow{wy} ) are parallel lines and ( mangle vux = 64^{circ} ), what is ( mangle tus )?

work it out
not feeling ready yet? these can help:
transversals of parallel lines: name angle pairs
lesson: transversals of parallel lines
find measures of complementary, supplementary, vertical, and adja-
lesson: vertical angles

Explanation:

Step1: Identify the relationship between angles

$\angle VUX$ and $\angle TUS$ are vertical angles.

Step2: Use the property of vertical angles

Vertical angles are equal. So $m\angle TUS=m\angle VUX$.

Answer:

$64$