Posted by Sharon on .
Find m<ABC if line BD is an angle bisector of angle ABC and m<ABC = 4x  5 degrees and angle b is x + 6 degrees

geometry 
Henry,
ABC = 4x  5 = 2b = 2(x + 6),
4x  5 = 2(x + 6),
4x  5 = 2x + 12,
4x  2x = 12 + 5,
2x = 17,
x = 17/2,
ABC = 4X  5 = 4*17/2  5 = 34  5 = 29
deg.