Question

m is in the interior of ∠abc. if m∠abc = 150° and m∠mbc = 18°, what is the m∠abm?

Explanation:

Step1: Recall angle - addition postulate

Since $\angle ABC=\angle ABM+\angle MBC$, we can find $\angle ABM$ by subtraction.

Step2: Set up the subtraction formula

$\angle ABM=\angle ABC - \angle MBC$.

Step3: Substitute the given values

Given $\angle ABC = 150^{\circ}$ and $\angle MBC=18^{\circ}$, then $\angle ABM=150^{\circ}- 18^{\circ}$.

Step4: Calculate the result

$150 - 18=132$, so $\angle ABM = 132^{\circ}$.

Answer:

$132^{\circ}$