Question

1. find m∠fgh if m∠fgb = 105° and m∠bgh = 54°.

Explanation:

Step1: Identify angle - addition relationship

We know that $\angle FGH=\angle FGB+\angle BGH$.

Step2: Substitute given angle - measures

Substitute $m\angle FGB = 105^{\circ}$ and $m\angle BGH = 54^{\circ}$ into the equation. So, $m\angle FGH=105^{\circ}+ 54^{\circ}$.

Step3: Calculate the sum

$105^{\circ}+54^{\circ}=159^{\circ}$.

Answer:

$159^{\circ}$