Question

find the measure of the missing angles. 43°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(b\) and the given \(43^{\circ}\) angle are vertical angles, so \(b = 43^{\circ}\).

Step2: Use linear - pair property

Angles \(b\) and \(c\) form a linear pair. A linear pair of angles sums to \(180^{\circ}\). So \(c=180 - b\). Substituting \(b = 43^{\circ}\), we get \(c = 180-43=137^{\circ}\).

Answer:

\(b = 43^{\circ}, c = 137^{\circ}\)