Question

what is the relationship between alternate exterior angles? a. supplementary b. congruent c. complementary d. adjacent if ∠1 = 6x + 10 and ∠5 = 130° are corresponding angles, what is the value of x? a. 17 b. 20 c. 18 d. 10

Explanation:

Step1: Recall angle - relationship property

When two parallel lines are cut by a transversal, alternate exterior angles are congruent. So the answer to the first question is B.

Step2: Use corresponding - angles property

Corresponding angles are congruent when two parallel lines are cut by a transversal. So we set up the equation $6x + 10=130$.

Step3: Solve the equation for $x$

Subtract 10 from both sides: $6x=130 - 10=120$. Then divide both sides by 6: $x=\frac{120}{6}=20$. So the answer to the second question is B.

Answer:

1. B. Congruent
2. B. 20