Question

what is the measure of ∠igh? hint: ∠fgh = 90°

Explanation:

Step1: Analyze the angle relationship

We know that $\angle FGH = 90^\circ$, and $\angle FGI = 43^\circ$. Also, $\angle FGH=\angle FGI+\angle IGH$.

Step2: Calculate $\angle IGH$

We can solve for $\angle IGH$ by rearranging the equation: $\angle IGH=\angle FGH - \angle FGI$. Substituting the known values, $\angle FGH = 90^\circ$ and $\angle FGI = 43^\circ$, we get $\angle IGH = 90^\circ - 43^\circ$.

Step3: Compute the result

$90^\circ - 43^\circ = 47^\circ$.

Answer:

$47^\circ$