Question

The angle bisector of ∠ABC is BP. If ∠MZABP is 6°, what is m∠ABC?

A) 3°
B) 6°
C) 12°
D) 18°

Answer 1

The angle bisector divides an angle into two equal angles. Since BP is the bisector of ∠ABC and ∠MZABP measures 6°, ∠ABC is double that, thus m∠ABC is 12°.

Step-by-step explanation:

The angle bisector of an angle divides it into two equal smaller angles. In the question, BP is the bisector of ∠ABC, which means that BP divides ∠ABC into two angles of equal measure. The problem states that the measure of ∠MZABP is 6°. Because BP is the bisector, ∠MZABP represents half of the measure of ∠ABC. Therefore, to find m∠ABC, we need to multiply the given angle by 2. So, m∠ABC = 6° × 2, which equals 12°. The correct answer is C) 12°.