174k views
2 votes
Find the value of x And y. State the Theron’s you used.

Find the value of x And y. State the Theron’s you used.-example-1

1 Answer

5 votes

Answer:

x = 5, y = 13

Explanation:

Solve for x:
42 = 8x + 2

40 = 8x

x = 5

This is solved using the alternate interior angles theorem, which states that alternate interior angles (in this case, the 42-degrees and 8x + 2 degree angles) are the same.

Solve for y:

180 = 42 + 6(2y - 3)

180 = 42 + 12y - 18

180 = 24 + 12y

156 = 12y

y = 13

This is solved using the same-side interior angles theorem, which states that same-side interior angles (in this case, the 42-degrees and 6(2y-3)-degree angles) add up to 180 degrees.

User Sasuke
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories