Question

when a transversal intersects two parallel lines, how many angles are formed? a. 10 b. 6 c. 4 d. 8 in a sports field design, if ∠3 = 3y + 25 and ∠6 = 5y - 15 are alternate interior angles, what is the measure of ∠6 when y = 20? a. 100 degrees b. 95 degrees c. 90 degrees d. 85 degrees

Explanation:

Step1: Recall angle - formation fact

When a transversal intersects two parallel lines, 8 angles are formed.

Step2: Solve for angle measure

Given $\angle6 = 5y−15$ and $y = 20$. Substitute $y$ into the formula for $\angle6$.
$\angle6=5\times20 - 15$
$=100 - 15$
$=85$ degrees

Answer:

1. d. 8
2. d. 85 degrees