498,423 views
25 votes
25 votes
Pls solve this I can do it after school I can do it after school , I’m going to cry again

Pls solve this I can do it after school I can do it after school , I’m going to cry-example-1
User William Yeung
by
3.0k points

2 Answers

19 votes
19 votes

Answer:

j=23

s=71

Explanation:

Here we have two parallel lines lines( UB and DK).

And we have another line, called a transversal that intersects( crosses) both parallel line. Doing so creates the following angles,

  • Vertical Angles, Angles are equal in measure
  • Alternate Exterior Angles, Angles are equal
  • Alternate Interior Angles. Angles are equal
  • Consective Angles. Angles are equal
  • Linear Pair Angles. Angles add up to 180

So now we look at the graph

First, we know that 3j+2 and s are vertical angles since they are across of each other. So they are equal to each other so let look at another angle first.

3j+s and 71 are Alternate Interior Angles since they lie inside the transversal and are across from each other.

Since they are Alternate Interior Angles, they are equal.

So we set them equal to each other.


3j + 2 = 71

Subtract 2 from both sides


3j = 69

Divide both sides by 3


j = 23

The value of j is 23.

Know to find S, we know s is equal to 3j+2, which when we plug in 23 for j, we get 71.

So s=71

User Ishan Bhatt
by
3.4k points
21 votes
21 votes

Answer:

s = 71

j = 23

71 = 3j+2

71 - 2 = 3j

39 = 3j

j = 23

User Snogglethorpe
by
2.6k points