Question

geometry > ★ d.4 transversals of parallel lines: find angle measures wb9 look at this diagram: if bd and eg are parallel lines and m∠efh = 110°, what is m∠dca?

Explanation:

Step1: Identify vertical - angle relationship

$\angle EFH$ and $\angle AFC$ are vertical angles. Since vertical angles are equal, $m\angle AFC=m\angle EFH = 110^{\circ}$.

Step2: Use corresponding - angle property

$\overline{BD}$ and $\overline{EG}$ are parallel lines and $\angle AFC$ and $\angle DCA$ are corresponding angles. For parallel lines cut by a transversal, corresponding angles are equal. So $m\angle DCA=m\angle AFC$.

Answer:

$110$