Angle ABC and ange DBE are vertical angles,the measure of angle ABC =3x+20, and the measure or angle DBE =4x-10. Write and solve an equation to find the measure of angle ABC and the measure of angle DBEin

3 answers

since vertical angles are equal,

3x+20 = 4x-10
x = 30

check:
ABC = 110
DBE = 110
UV=3c+29,VW=-2-4,UW=-4c
Bd Bisect ABC=(6×-10)° and m dbc = (2×+20)°