Point D is the incenter of triangle BCA. If m∠FDG = 128°, what is the measure of ∠FHG?
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Answer:
[tex]m\angle FHG\text{ = 64}\degree[/tex]Explanation:
Here, we want to get the measure of angle FHG
Mathematically, the angle at the center is twice the angle at the circumference of a circle
Thus:
[tex]\begin{gathered} m\angle FHG\text{ = }\frac{1}{2}\times\text{ m}\angle FDG \\ \\ m\angle FHG\text{ = }\frac{1}{2}\times128\degree \\ \\ m\angle FHG\text{ = 64}\degree \end{gathered}[/tex]