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

Point D Is The Incenter Of Triangle BCA If MFDG 128 What Is The Measure Of FHG class=

Sagot :

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]

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