Question

the diagram shows two parallel lines and a transversal. if the measure of ∠6 is 140°, what is the measure of ∠1? a. 140° b. 40° c. 60° d. 50°

Explanation:

Step1: Identify angle - relationship

∠6 and ∠3 are vertical angles, so ∠3 = ∠6 = 140°.

Step2: Use property of parallel lines

∠3 and ∠1 are supplementary (linear - pair). Let the measure of ∠1 be x. Then x+140° = 180°.

Step3: Solve for ∠1

x = 180° - 140° = 40°. So the measure of ∠1 is 40°.

Answer:

B. 40°