DEAR JESUS I NEED MATH HELP!!!!!!!!?

Question

the expressions (9x+5)degrees and (11x-25)degrees represent the measure of two angles of a regular nonagon. find the measure of an angle of the nonagon.

please explain step by step instructions. including how to substitute and what not

Answer 1

Sounds hard! Sorry!

Answer 2

The angles are going to be equal, so simply set the two expressions equal and solve:

9x+5=11x-25

Subtract 9x from both sides:

5=2x-25

Add 25 to both sides:

30=2x

Divide both sides by 2:

x=15

Now plug that in to one of the equations:

9x+5 with x=15 means 9*15+5

Which is 135+5

Which is 140 degrees.

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