Question

1. if ∠2 = 4y + 5 and ∠6 = 2y + 35 are alternate interior angles, what is the measure of ∠2 when y = 15?

a. 55 degrees
b. 65 degrees
c. 60 degrees
d. 70 degrees

Explanation:

Step1: Substitute y value

Given $\angle2 = 4y + 5$ and $y = 15$. Substitute $y$ into the formula for $\angle2$.
$\angle2=4\times15 + 5$

Step2: Perform multiplication

$4\times15=60$, so $\angle2=60 + 5$

Step3: Perform addition

$\angle2=65$

Answer:

B. 65 degrees