The angle bisector of <ABC is BP. If m<ABP is 6n degrees, what is m<ABC?

Answer 1

An angle bisector means it splits the angle exactly in half (with both parts equal) so if the m∠ABP = 6n then the m∠PBC is also 6n.

Using the angle addition postulate, m∠ABC = m∠ABP + m∠PBC = 6n + 6n = 12n