Question

parallel lines and transversals | find the... what is the measure of <3? multiple - choice question 70 100 10 90

Explanation:

Step1: Identify angle - relationship

We know that when two parallel lines are cut by a transversal, co - interior angles are supplementary (add up to 180°). Here, the angle adjacent to the 110° angle and ∠3 are co - interior angles.

Step2: Find the adjacent angle to 110°

The angle adjacent to the 110° angle on a straight - line is 180°−110° = 70° (since angles on a straight line are supplementary).

Step3: Calculate ∠3

Since the adjacent angle to 110° and ∠3 are co - interior angles and co - interior angles between parallel lines add up to 180°, if we let the adjacent angle to 110° be ∠A = 70°, then ∠3=180° - ∠A. So ∠3 = 110°. But we can also note that the 110° angle and ∠3 are corresponding angles (when considering the parallel lines and the transversal), and corresponding angles are equal.

Answer:

110