Question

An angle measures 12 degrees less than three times its supplement. Find the
measure of the angle

Answer 1

its an equarion

Answer 2

Supplementary angles add up to 180°
Let's start with having two angles a and b. a is the angle you're trying to find, and b is the supplementary angle:

a + b =180°
a = 3b - 12

Can you solve it from here?

Answer 3

will it be equal to each other

Answer 4

No, the two equations aren't equal to each other right now.

You could subtract b from both sides in the first equation to give:
a = 180 - b

Then set the equations equal to each other:
3b-12 = 180-b

Answer 5

i am confused

Answer 6

Do you know how to solve systems of equations?

Answer 7

yess

Answer 8

The two equations are:
a + b =180°
a = 3b - 12

How would you start to solve that?

Answer 9

so you will cancel the a

Answer 10

will it be
like 2b=168

Answer 11

wont the answer be 84??

Answer 12

I would start to solve the system by replacing the a in the first equation with 3b-12 (substitution), giving:
3b - 12 + b = 180
4b - 12 = 180
4b = 192
b = 48