Question

if m∠agd = 63°, then what is m∠bgd?

Explanation:

Step1: Identify angle - relationship

$\angle AGD$ and $\angle BGD$ are a linear - pair of angles. A linear pair of angles are supplementary, meaning their sum is $180^{\circ}$.
So, $m\angle AGD + m\angle BGD=180^{\circ}$.

Step2: Solve for $m\angle BGD$

Given $m\angle AGD = 63^{\circ}$, we substitute into the equation:
$m\angle BGD=180^{\circ}-m\angle AGD$.
$m\angle BGD = 180^{\circ}-63^{\circ}=117^{\circ}$.

Answer:

$117^{\circ}$