We need to find x. The angle GJI and FJH are opposite by the the vertex, then they must be congruents: (x+60)°=(5x)° x+60=5x Solving for x x+60-x=5x-x 60=4x 60/4=4x/4 15=x x=15
Replacing x by 15 in m<GJI: m<GJI=(x+60)°=(15+60)°→m<GJI=75°
60 degrees because vertical angles are congruent if you move line y 5 degrees clockwise then you are adding 5+55=60 and since 1 and 3are congruent 3=60 degrees
