[tex]E[/tex] is the center so [tex]\overline{HF}[/tex] is a diameter so the central angle is [tex]180[/tex]°.
[tex]m\angle FGH = \frac{1}{2}\cdot180 = 90[/tex]
Also, the Semicircle Theorem states that if an angle is formed within a circle and it cuts through a semicircle (half a circle), then that angle will always be a right angle or 90 degrees.
Answers & Comments
Answer:
[tex]m\angle FGH = 90[/tex]°
[tex]E[/tex] is the center so [tex]\overline{HF}[/tex] is a diameter so the central angle is [tex]180[/tex]°.
[tex]m\angle FGH = \frac{1}{2}\cdot180 = 90[/tex]
Also, the Semicircle Theorem states that if an angle is formed within a circle and it cuts through a semicircle (half a circle), then that angle will always be a right angle or 90 degrees.