Question

JK and JL are opposite rays and ray JM bisects angle KJL. if m angle MJK = (5x+15) degree, find the value of x.

Answer 1

@dude

Answer 2

@SmokeyBrown

Answer 3

Do we have a picture for this one

Answer 4

no

Answer 5

Did you draw it out?

Answer 6

im so confused with this and one other so no.

Answer 7

Lets start with this:

That is what 'opposite rays' look like

Answer 8

Does that make sense?

Answer 9

well, i figured that much but then the nxt part of that sentence confused me so bad that i thought that the opposite rays are drawn differently

Answer 10

Quick question, do you know the angle of a straight line?

Answer 11

180?

Answer 12

Correct

Answer 13

Do you know what bisect means?

Answer 14

two cut in half

Answer 15

Then this should all make sense in a few moments.

Answer 16

So far we have 'JK and JL are opposite rays' drawn out. Lets focus on the next part which is: 'ray JM bisects angle KJ'

Answer 17

'if m angle MJK = (5x+15) degree'

Where is this angle on that picture. You can click the pencil in the top right corner of my drawing to draw on it.

Answer 18

Correct. What do you think the measure of that angle is?

Answer 19

Let me know if you need a hint. But just try and see if you can get it yourself.

Answer 20

90

Answer 21

Correct. Segment KL is perpendicular to segment JM. When lines are perpendicular, they create 90 degree angles.

Answer 22

Knowing that the angle is 90 degrees, what do you think you can do next?

Answer 23

Remember, the goal is to find the value of x

Answer 24

90=5x+15

Answer 25

Correct. You know how to do that right?

Answer 26

yes..

Answer 27

Okay cool