Question

1. line de is parallel to line bc. a. what is the measure of angle eac? b. what is the measure of angle dab?

Explanation:

Step1: Use the property of parallel lines (alternate - interior angles)

Since \(DE\parallel BC\), for part (a), \(\angle EAC\) and \(\angle ACB\) are alternate - interior angles. So \(\angle EAC = c^{\circ}\)

Step2: Use the property of parallel lines (same - side interior angles)

For part (b), since \(DE\parallel BC\), \(\angle DAB+\angle ABC = 180^{\circ}\) (same - side interior angles). So \(\angle DAB=(180 - b)^{\circ}\)

Answer:

a. \(c^{\circ}\)
b. \((180 - b)^{\circ}\)