Question

solve for m∠dbc if m∠abc = 130° and m∠abd = 90°.

Explanation:

Step1: Identify angle - relationship

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

Step2: Rearrange the formula to solve for $\angle DBC$

$\angle DBC=\angle ABC - \angle ABD$.

Step3: Substitute the given values

Given $\angle ABC = 130^{\circ}$ and $\angle ABD=90^{\circ}$, then $\angle DBC=130^{\circ}-90^{\circ}$.

Step4: Calculate the result

$\angle DBC = 40^{\circ}$.

Answer:

$40^{\circ}$