Question

in the figure, ( mangle abd = 156^{circ} ). what is ( mangle abc )? ( mangle abc=) ?

Explanation:

Step1: Analyze the relationship between angles

From the figure, $\angle ABC+\angle CBD = \angle ABD$.

Step2: Substitute the known values

Given $m\angle ABD = 156^{\circ}$ and $m\angle CBD=32^{\circ}$, then $m\angle ABC=m\angle ABD - m\angle CBD$.

Step3: Calculate the value of $m\angle ABC$

$m\angle ABC=156^{\circ}- 32^{\circ}=124^{\circ}$

Answer:

$124$