Question

Point D is the incenter of triangle BCA. If m∠FDG = 128°, what is the measure of ∠FHG?

Answer 1

Answer:

$m\angle FHG\text{ = 64}\degree$

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:

$\begin{gathered} m\angle FHG\text{ = }\frac{1}{2}\times\text{ m}\angle FDG \\ \\ m\angle FHG\text{ = }\frac{1}{2}\times128\degree \\ \\ m\angle FHG\text{ = 64}\degree \end{gathered}$