218k views
2 votes
In the figure below, j Il n. Find the values of y and x.

In the figure below, j Il n. Find the values of y and x.-example-1

1 Answer

4 votes

Answer:

y = 105

x = 31

Explanation:

We have y and 75 as consecutive interior angles.
(Consecutive interior angles are are found between the two parallel lines and on the same side of the transversal)

Sum of two consecutive interior angles = 180°

so we have y + 75 = 180
y = 180-75 = 105

So y = 105

y and (3x+12) are opposite angles and are equal
So 3x+12 = y
3x + 12 = 105
3x = 105-12 = 93
x = 93/3 = 31

So x = 31

User Clover
by
5.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.