Question

if ( mangle abc = 125^{circ} ) and ( mangle abd = 94^{circ} ), then ( mangle dbc=) ?

Explanation:

Step1: Analyze the angle relationship

We know that \(\angle ABC=\angle ABD + \angle DBC\) (angle - addition postulate).

Step2: Solve for \(\angle DBC\)

Rearrange the formula to get \(\angle DBC=\angle ABC-\angle ABD\).
Substitute \(m\angle ABC = 125^{\circ}\) and \(m\angle ABD=94^{\circ}\) into the formula: \(m\angle DBC=125^{\circ}-94^{\circ}\).

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Answer:

\(31\)