Answer:
m∠EGD = 50°
m∠BGC = 108°
m∠AGE = 130°
Explanation:
m∠BGC = 180° - m∠AGB + m∠DGC
m∠BGC = 180° - 50° + 22°
m∠BGC = 180° - 72°
m∠BGC = 108°
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m∠EGD = 180° - 108° - 22°
m∠EGD = 50°
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m∠AGE = m∠AGF + m∠FGE
m∠AGE = 22° + 108°
m∠AGE = 130°