Question

1. m∠efg = 130°. determine m∠hfg.

Explanation:

Step1: Identify angle - addition relationship

We know that $\angle EFG=\angle EFH+\angle HFG$.

Step2: Rearrange the formula to solve for $\angle HFG$

$\angle HFG=\angle EFG - \angle EFH$.

Step3: Substitute given values

Given $\angle EFG = 130^{\circ}$ and $\angle EFH=86^{\circ}$, then $\angle HFG=130^{\circ}- 86^{\circ}$.

Step4: Calculate the result

$\angle HFG = 44^{\circ}$.

Answer:

$44^{\circ}$