Question

what is m∠abc? m∠abc = 123° m∠abc + 32° = 156°

Explanation:

Step1: Recall angle - addition property

The measure of $\angle ABC$ is the sum of the measures of the non - overlapping angles that make it up. Here, if we assume $\angle ABC$ is composed of two non - overlapping angles and one of them is $32^{\circ}$ and the whole $\angle ABC$ and the $32^{\circ}$ angle together form an angle of $156^{\circ}$. Let $m\angle ABC=x$. Then $x + 32^{\circ}=156^{\circ}$.

Step2: Solve for $x$

We can solve the equation $x+32^{\circ}=156^{\circ}$ for $x$ by subtracting $32^{\circ}$ from both sides of the equation. So $x=m\angle ABC=156^{\circ}- 32^{\circ}$.
$m\angle ABC = 124^{\circ}$

Answer:

$124^{\circ}$