Question

solve for m∠abd. answer attempt 1 out of 5 m∠abd =

Explanation:

Step1: Recall angle - subtraction principle

We know that the larger angle $\angle ABC$ is composed of two non - overlapping angles $\angle ABD$ and $\angle DBC$. So, $m\angle ABC=m\angle ABD + m\angle DBC$.

Step2: Identify the given angles

We are given that $m\angle ABC = 126^{\circ}$ and $m\angle DBC=67^{\circ}$.

Step3: Solve for $m\angle ABD$

Using the formula $m\angle ABD=m\angle ABC - m\angle DBC$, we substitute the values: $m\angle ABD = 126^{\circ}-67^{\circ}$.
$m\angle ABD=59^{\circ}$

Answer:

$59$