Question

Angle EFG and angle GFH are a linear pair, mAngle EFG=4n+25, and mAngle GFH=5n+29. What are mAngleEFG and mAngleGFH?

Answer 1

Do you know what it means for the angles to be a linear pair?

Answer 2

Doesn't it mean that it's a pair of adjacent angles whose noncommon sides are opposite rays?

Answer 3

Yes. More importantly, it also means that the sum of the two angles is 180.
Does that help you?

Answer 4

Kinda. But i still don't know how i would solve this problem

Answer 5

One angle is 4n+25
The second angle is 5n + 29
Can you add those two?

Answer 6

wouldn't i just add 4 to 25? and get 29?

Answer 7

4n+25+5n+29=9n+54

Answer 8

So 9n+54=180

Answer 9

Solve that equation.

Answer 10

would i subtract 9 from each side?

Answer 11

1. subtract 54 from both sides.
2. Divide both sides by 9

Answer 12

Ohhh okay! one second

Answer 13

so i got 14

Answer 14

You got n = 14. The problem asked you to find the measure of each angle.

Answer 15

Well for the equation 9n+54=180 I got n=14

Answer 16

What does the problem say about the measure of angle EFG?

Answer 17

Angle EFG and angle GFH are a linear pair, mAngle EFG=4n+25, and mAngle GFH=5n+29. What are mAngleEFG and mAngleGFH?
m<EFG=___
m<GFH=___

that's all the questions says

Answer 18

Read the problem and answer my question. What does the problem say about the measure of angle EFG?

Answer 19

mAngle EFG=4n+25

Answer 20

Yeah was just about to say that

Answer 21

Then find the measure of EFG. You know what n is.

Answer 22

ohh okay, i'm getting it once second let me work it out

Answer 23

81?

Answer 24

Yes. Now find the measure of the other angle. Remember: the two angles are a linear pair which means their sum is 180.

Answer 25

99? For the other equation

Answer 26

yes

Answer 27

okay so
m<EFG=81
m<GFH=99

Answer 28

yes

Answer 29

Okay, Thank you so much!