Question

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

Explanation:

Step1: Use the angle - addition relationship

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

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

Given \(m\angle ABD = 156^{\circ}\) and \(m\angle CBD=32^{\circ}\). Then \(m\angle ABC=m\angle ABD - m\angle CBD\). Substitute the values: \(m\angle ABC=156^{\circ}-32^{\circ}\).

$$m\angle ABC = 124^{\circ}$$

Answer:

\(124\)