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look at this diagram: if bd and eg are parallel lines and m∠bca = 70°, …

Question

look at this diagram: if bd and eg are parallel lines and m∠bca = 70°, what is m∠gfc?

Explanation:

Step1: Identify angle - relationship

$\angle BCA$ and $\angle GFC$ are vertical - angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle GFC=m\angle BCA$.

Answer:

$70$