Question

Two parallel lines are intersected by a transversal. ∠3 and ∠9 are alternate interior angles. The measure of ∠3 is (4m + 1). The measure of ∠9 is (187 – 2m). What is the measure of each angle?

A. Measure of ∠3 is 187 - 2m, and the measure of ∠9 is 4m + 1.
B. Measure of ∠3 is 4m + 1, and the measure of ∠9 is 187 - 2m.
C. Measure of ∠3 is 4m + 1, and the measure of ∠9 is also 4m + 1.
D. Measure of ∠3 is 187 - 2m, and the measure of ∠9 is also 187 - 2m.

Answer 1

The measure of angle ∠3 is 4m + 1 and the measure of angle ∠9 is 187 - 2m. option (D)

Step-by-step explanation:

The measure of angle ∠3 is represented as 4m + 1 and the measure of angle ∠9 is represented as 187 - 2m.

Since ∠3 and ∠9 are alternate interior angles formed by two parallel lines intersected by a transversal, they are congruent.

Therefore, the measure of ∠3 is 187 - 2m and the measure of ∠9 is 187 - 2m as well.