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solve for m∠fgi if m∠fgh = 161° and m∠igh = 111°. answer attempt 1 out …

Question

solve for m∠fgi if m∠fgh = 161° and m∠igh = 111°. answer attempt 1 out of 2 m∠fgi =

Explanation:

Step1: Identify angle - relationship

We know that $\angle FGH=\angle FGI+\angle IGH$.

Step2: Solve for $\angle FGI$

By rearranging the formula, we get $\angle FGI=\angle FGH - \angle IGH$.
Substitute $\angle FGH = 161^{\circ}$ and $\angle IGH=111^{\circ}$ into the formula: $\angle FGI=161^{\circ}- 111^{\circ}$.
$161 - 111=50$.

Answer:

$50^{\circ}$