If m∠BGF = 152°, what is m∠AGF? °
64 degrees
92 degrees
180 degrees
240 degrees
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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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