Question

∠AVC and ∠BVC are adjacent angles. If M∠AVC = 2X+2, M∠BVC = 4X - , and M∠AVB = 103º, solve for X and find the measurements for M∠AVC and M∠BVC. Please explain it. I don't just want the answer. Thanks.

Answer 1

EDIT: M∠BVC = 4X - 7

Answer 2

What's the degree of a full circle?

Answer 3

It's not a circle. You're suppose to find the degree of each angle that add up to 103º.

Answer 4

Okay then:

Answer 5

but how do I find the degree of each angle?

Answer 6

You solve for x first

Answer 7

The two angles add up to 103\(^\circ\)

Answer 8

so I add 2x+2 and4x-7?

Answer 9

Yep

Answer 10

ok, whats next?

Answer 11

Equals 103

Answer 12

okay, I got that. How to I find the individual degrees for each angle?

Answer 13

What's x?

Answer 14

2x+2 is m<AVC if you remember

Answer 15

I don't know what X is. All I have is 6x-5=103º.

Answer 16

Solve that equation

Answer 17

how? Do I divide each side by 6?

Answer 18

Add each side by 5\(^\circ\)

Answer 19

Watch this video when you have time, it'd help you out a lot: https://www.youtube.com/watch?v=tuVd355R-OQ

Answer 20

so 6x = 108º, right?

Answer 21

Yep

Answer 22

then divide each side by 6, right?

Answer 23

Exactly

Answer 24

so each side is 18º?

Answer 25

Nope, there's no side

Answer 26

18º is just the value of x

Answer 27

I mean each angle.

Answer 28

oh, ok.

Answer 29

so AVC = 38º AND BVC = 65

Answer 30

Thank you so much.