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

Question

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Respuesta :

LadyStrange LadyStrange · Answer 1 · 2020-10-22T08:38:59+02:00

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 )

Answer Link

Adetunmbiadekunle Adetunmbiadekunle · Answer 2 · 2021-10-22T13:00:20+02:00

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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