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.