BD bisects angle ABC, measure of angle ABC=5x-4, and measure of angle CBD=2x+10 angle ABC is a(n) _ angle

2 answers

Solve for x from the equation:
5x-4 = 2(2x+10)
5x-4 = 4x + 20
5x-4x = 20+4
x=24
so angle ABC = 5(24)-4 = 120-4=116 degrees.

What kind of angle is angle ABC?
Acute