Respuesta :

Answer: ∠AGF = 64° (A)

Explanation:

According to the diagram,

∠BGF = ∠AGB + ∠AGF

152° = 88° + ∠FGA

∠AGF = 152° - 88°

∠AGF = 64°

Angle AGF is 64 degrees

The sum of angles at a point sum up to 360 degrees. In the given diagram, G represents the point.  This means that angles BGC, CGD, DGE, EGF and FGA would add up to 360 degrees.

Angle BGF comprises Angle BGA and Angle AGF. Given the value of angle BGF and angle BGA, the value of angle AGF can be determined by subtracting angle BGA from angle BGF

Angle AGF = angle BGF - angle BGA

152° - 88° = 64°

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