Question

if (mangle cbd = 67^{circ}) and (mangle abd = 119^{circ}), find (mangle abc).

Explanation:

Step1: Identify angle - relationship

We know that $\angle ABD=\angle ABC+\angle CBD$.

Step2: Solve for $\angle ABC$

So, $\angle ABC=\angle ABD - \angle CBD$.
Substitute $\angle CBD = 67^{\circ}$ and $\angle ABD=119^{\circ}$ into the formula: $\angle ABC=119^{\circ}- 67^{\circ}$.
$119 - 67=52$.

Answer:

$m\angle ABC = 52^{\circ}$