geometry question

Question

geometry question

EG bisects ∠DEF, and m∠DEG=26.1°. Find m∠GEF and m∠DEF.

M∠GEF=

m∠DEF = 

Answer 1

If EG bisects <DEF, it divides <DEF into two equal angles, <DEG and <GEF.

Since m<DEG = 26.1, then m<GEF = 26.1.

since m<DEG + m<GEF = m<DEF (angle addition postulate) then

m<DEF = 26.1 + 26.1 = 52.2