Question

1. a transversal intersects two parallel lines. one alternate exterior angle is 3x - 20 degrees and its pair is 2x + 10 degrees. find x.

a. 20
b. 40
c. 50
d. 30

Explanation:

Step1: Recall angle - property

When a transversal intersects two parallel lines, alternate exterior angles are equal. So, we set up the equation $3x - 20=2x + 10$.

Step2: Solve the equation for $x$

Subtract $2x$ from both sides: $3x-2x - 20=2x-2x + 10$, which simplifies to $x-20 = 10$.
Then add 20 to both sides: $x-20 + 20=10 + 20$, so $x = 30$.

Answer:

D. 30