Question

in the figure, ( mangle abd = 156^{circ} ).
what is ( mangle abc )?
( mangle abc=)

Explanation:

Step1: Analyze the relationship between angles

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

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

Rearrange the formula to \(m\angle ABC=m\angle ABD - m\angle CBD\).
Substitute \(m\angle ABD = 156^{\circ}\) and \(m\angle CBD=32^{\circ}\) into the formula: \(m\angle ABC=156 - 32\).

Answer:

\(124\)