I'm Using my last points will give brainliest geometry - finding angles with justification (level 1) delta math Please do step by step and pick reasoning for each
here are reasonings to pick from:

verticle angles

Linear pair (or triples)

Congruent angles

sum of angles in a triangle

sum of angles in a quadrilateral

Base angles of an isosceles triangle

Angle bisector definition

corresponding angles

alternate interior angles

alternate exterior angles

same - side interior angles

angle addition postulate

angle subtraction postulate

perpendicular lines form right angles

In the diagram shown, if m<AGF  =  64°, m<CGE  =  84°, then m<DGB    =    32°

From the figure shown:

m<AGF  =  64° (Given)

m<CGE  =  84° (Given)

m<AGF   =  m<BGE  (Vertically opposite angles are equal)

m<AGF  =  m<BGE   =  64°

m<CGE  +  m<BGE  +  m<DGB   =  180° (Sum of angles on a straight line)

84   +  64  +   m<DGB   =   180

148   +   m<DGB    =   180

m<DGB    =   180   -  148

m<DGB    =    32°

Therefore, in the diagram shown, if m<AGF  =  64°, m<CGE  =  84°, then m<DGB    =    32°

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m∠AGF + m∠CGE + m∠AGC = 180° ( linear pair )

84° + 64° + m∠AGC = 180°

148° + m∠AGC = 180°

m∠AGC = 180 - 148

m∠AGC = 32°

As m∠AGC and m∠DGB are vertically opposite angles , their angle measure will be equal .

Which means :-

m∠AGC = m∠DGB ( vertically opposite angles )

step-by-step explanation: noo

fwms@lil_ben06

step-by-step explanation: