Question

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

Explanation:

Step1: Find supplementary angle of ∠6

$\angle 3 = 180^\circ - \angle 6 = 180^\circ - 140^\circ = 40^\circ$

Step2: Corresponding angles are equal

$\angle 1 = \angle 3 = 40^\circ$

Answer:

C. $40^\circ$