Question

if ( mangle abd = 64^{circ} ) and ( mangle cbd = 30^{circ} ). then ( mangle abc = ) ?

Explanation:

Step1: Use angle - addition relationship

We know that \(m\angle ABD=m\angle ABC + m\angle CBD\).

Step2: Solve for \(m\angle ABC\)

Rearrange the formula: \(m\angle ABC=m\angle ABD - m\angle CBD\).
Substitute \(m\angle ABD = 64^{\circ}\) and \(m\angle CBD=30^{\circ}\) into the formula: \(m\angle ABC = 64^{\circ}-30^{\circ}\).

Answer:

\(34\)