Question

If the measure of an angle is 12 less than 3 times the measure of its supplement. Find the measure of each angle.

Answer 1

If the angle is x, how do you represent the supplement?

Answer 2

180-x

Answer 3

Translate this: the angle is

Answer 4

x =

Answer 5

translate this: 3 times the supplement

Answer 6

3 x 180 - x?

Answer 7

3(180-x)

Answer 8

Or that

Answer 9

Now, which is bigger: x or 3(180-x)?

Answer 10

the latter

Answer 11

How much bigger?

Answer 12

Errr 3(180) bigger? - the value of x?

Answer 13

Yes. 3 times the supplement is bigger and it is 12 bigger according to the problem.

Answer 14

So think with me now...we have two numbers:

Answer 15

We want to make them equal so that we can write an equation.

Answer 16

We have two choices:
1. We can add 12 to the little one
2. We can subtract 12 from the big one.

Answer 17

Subtract?