Question

The circle below has center H. Suppose that m

Answer 1

mFG = 64° , ∠ FEG = 32°

Explanation:

the arc FG is equal in measure to the central angle FHG it subtends, so

mFG = ∠ FHG = 64°

the inscribed angle FEG is half the measure of the arc subtending it FG, so

∠ FEG =
`(1)/(2)` FG =
`(1)/(2)` × 64° = 32°