Question

Find mPGM. PY and MG are diameters.

Answer 1

284°

Explanation:

Given:

A circle

F - centre

∠YFM, ∠MFP, ∠PFD, ∠DFG, ∠GFY are central angles (the central angles are equal to the arc on which they rest)

∠YFG = ∠MFP = 76° (cross angles)

A whole circle forms an angle of 360°

arc PGM = 360° - arc PM

arc PGM = 360° - 76° = 284°