Question

if ∠3 = 6y - 10 and ∠6 = 4y + 20 are alternate interior angles, find the measure of ∠6 when y = 15. a. 110 degrees b. 80 degrees c. 90 degrees d. 85 degrees if ∠2 = 4y + 5 and ∠6 = 2y + 35 are alternate interior angles, what is the measure of ∠2 when y = 15? a. 65 degrees b. 60 degrees c. 70 degrees d. 55 degrees

Explanation:

Step1: Recall property of alternate - interior angles

Alternate - interior angles are equal. But we only need to substitute the value of \(y\) into the expression for the given angle.

Step2: Substitute \(y = 15\) into the expression for \(\angle2\)

Given \(\angle2=4y + 5\), substitute \(y = 15\). Then \(\angle2=4\times15+5\).

Step3: Calculate the value of \(\angle2\)

\(4\times15+5=60 + 5=65\).

Answer:

a. 65 degrees