Question

look at this diagram: if (overrightarrow{bd}) and (overrightarrow{eg}) are parallel lines and (mangle gfh = 125^{circ}), what is (mangle gfc?)

Explanation:

Step1: Identify angle - relationship

$\angle GFH$ and $\angle GFC$ are supplementary angles.

Step2: Use the supplementary - angle formula

Supplementary angles add up to $180^{\circ}$. So $m\angle GFC=180^{\circ}-m\angle GFH$.

Step3: Substitute the given value

Given $m\angle GFH = 125^{\circ}$, then $m\angle GFC=180 - 125$.
$m\angle GFC = 55^{\circ}$

Answer:

$55$