Question

In the given figure AFIIBE,AC perpendicular to BE abd AF bisect angle GAD.If GAD=70 then find the measure of angle ABC and ADE​

Answer 1

given

ADE=120

GAD=70

then

ADC+ADE=180

ADC+120=180

ADC=60

ACD=90 (right angle)

CAD+ACD+ADC=180

CAD+90+60=180

CAD=30

GAD+CAD+BAC=180(adjacent angles)

70+30+BAC=180

BAC=80

ACB=90 (right angle)

BAC+ABC+ACB=180

90+80+ABC=180

ABC=10.