two angles are supplementary one of the angles is 2 less than 3 times the other what are the angle measures

Answer 1

Complimentary angles add up to 90° Supplementary angles add up to 180°. A nice way to remember that is: C comes before S in the alphabet and 90 comes before 180 so C goes with 90 and S goes with 180.

Now for this problem:

two angles (x and y) are supplementary.

That means they add up to 180. So we get one equation:

x + y = 180

Then:

one of the angles (x) is (=) 2 less than ( - 2) three times the other (3y)

x = 3y - 2

Substitute that equation in for x in the first equation:

(x) + y = 180

(3y - 2) + y = 180

Combine like terms:

4y - 2 = 180

Solve for y:

4y = 182

y = 45.5

Plug that back in for y in the equation x + y = 180:

x + 45.5 = 180

x = 134.5

So one angle measures 45.5° and the other measures 134.5°

Let’s check this.

45.5 + 134.5 does equal 180, so they are supplementary.

45.5 * 3 - 2 = 134.5

Answer 2

First of all your English grammar needs at least as much help as your math! Sentences begin with a capital letter and end with a period. Questions also start with a capital letter but end with a question mark. You are fortunate that my answer will be more carefully written than your question.

The 2 angles are x and y.

x+y=180

y=3x-2

x+3x-2=180

4x=182

x= 45.5

y=134.5