Question

m∠abc______

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, the sum of the interior angles on the same side of the transversal is \(180^{\circ}\).
$$83^{\circ}+m\angle ABC = 180^{\circ}$$

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

Subtract \(83^{\circ}\) from both sides of the equation.
$$m\angle ABC=180^{\circ} - 83^{\circ}$$
$$m\angle ABC = 97^{\circ}$$

Answer:

\(97^{\circ}\)