Question

in the image shown, line n is a transversal cutting parallel lines l and m. ∠3 = x + 50, ∠7 = 2x + 20. what is the measure of ∠3? a. 70° b. 75° c. 80°

Explanation:

Step1: Use corresponding - angles property

Since ∠3 and ∠7 are corresponding - angles for parallel lines l and m cut by transversal n, ∠3=∠7.

Step2: Set up equation

x + 50=2x+20.

Step3: Solve for x

50 - 20=2x - x, so x = 30.

Step4: Find measure of ∠3

Substitute x = 30 into ∠3=x + 50, then ∠3=30 + 50=80°.

Answer:

80°