Question

8. a fence on a hill uses vertical posts l and m to hold parallel rails n and p. if m∠10 = 85, then what is the measure of ∠7?

a. 65º
b. 75º
c. 95º
d. 85º

Answer 1

The measure of ∠7 is 85°.

Step-by-step explanation:

To find the measure of ∠7, we need to look for the information given in the question. The question mentions a fence on a hill with vertical posts L and M holding parallel rails N and P. The measure of ∠10 is given as 85 degrees. To find the measure of ∠7, we need to use the fact that alternate interior angles are congruent.

Since ∠10 and ∠7 are alternate interior angles, they are congruent. Therefore, the measure of ∠7 is also 85 degrees. Hence, the correct answer is (d) 85°.