Question

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

Explanation:

Step1: Analyze the relationship between angles

From the figure, we know that \(m\angle ABD=m\angle ABC + m\angle CBD\).

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

We are given that \(m\angle ABD = 156^{\circ}\) and \(m\angle CBD=32^{\circ}\). Rearranging the formula from Step 1 gives \(m\angle ABC=m\angle ABD - m\angle CBD\). Substituting the given values: \(m\angle ABC = 156^{\circ}-32^{\circ}\).

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Answer:

\(124\)