Question

letters a, b, c, and d are angle measures. which should equal 105° to prove that f || g? a b c d

Explanation:

Step1: Recall the property of supplementary angles

If two lines are parallel, then consecutive interior angles are supplementary. The angle of \(75^{\circ}\) and \(d\) are consecutive interior angles.

Step2: Calculate the value of \(d\) for parallel lines

If \(f\parallel g\), then \(75^{\circ}+d = 180^{\circ}\) (consecutive - interior angles). Solving for \(d\), we get \(d=180^{\circ}- 75^{\circ}=105^{\circ}\).

Answer:

d