Question

find the measure of the missing angles. answer attempt 1 out of 2 d = ° e = ° f = ° 105° d 32° e f

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(d\) and the \(105^{\circ}\) angle are vertical angles, so \(d = 105^{\circ}\).

Step2: Use linear - pair property

The \(105^{\circ}\) angle and \(e\) form a linear pair. A linear pair of angles sums to \(180^{\circ}\). So \(e=180 - 105=75^{\circ}\).

Step3: Use linear - pair property for \(f\)

The \(32^{\circ}\) angle and \(f\) form a linear pair. So \(f = 180 - 32=148^{\circ}\).

Answer:

\(d = 105^{\circ}\), \(e = 75^{\circ}\), \(f = 148^{\circ}\)