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if m∠agd = 63°, then what is m∠bgd? answer attempt 1 out of 2 m∠bgd = °…

Question

if m∠agd = 63°, then what is m∠bgd? answer attempt 1 out of 2 m∠bgd = ° submit answer

Explanation:

Step1: Identify angle - relationship

$\angle AGD$ and $\angle BGD$ are a linear - pair of angles. A linear pair of angles is supplementary, meaning the sum of their measures 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 this value into the equation:
$m\angle BGD=180^{\circ}-m\angle AGD$.
$m\angle BGD = 180 - 63$.
$m\angle BGD=117^{\circ}$.

Answer:

$117$