Question

I have statements. i only need reasons thank you!

Answer 1

Statement Reason

m∠EGF = 60° & m∠AGF = 90° Given

∠EGF + ∠AGF + ∠AGB = 180° Definition of supplementary angles

60° + 90° + ∠AGB = 180° Substitution

150° + ∠AGB = 180° Add the the similar values

∠AGB = 180° - 150° Subtraction property of equality

∠AGB = 30° Answer

You are free to arrange any of the reasons (and statements) as you wish.

I just want to give you the main idea.

Hope this helps.