Question

given: point d is in the interior of ∠abc.
if m∠abc = 44° and the m∠cbd = 12°, what is the m∠abd?
m∠abd =
you should draw a picture to help. pay close attention to the locations of each point.

Explanation:

Step1: Use the angle - addition postulate

If \(D\) is in the interior of \(\angle ABC\), then \(m\angle ABC=m\angle ABD + m\angle CBD\).

Step2: Solve for \(m\angle ABD\)

We know that \(m\angle ABC = 44^{\circ}\) and \(m\angle CBD=12^{\circ}\). Rearranging the formula from Step 1 gives \(m\angle ABD=m\angle ABC - m\angle CBD\).
Substitute the values: \(m\angle ABD = 44^{\circ}-12^{\circ}\).

$$m\angle ABD=32^{\circ}$$

Answer:

\(32\)