Question

The measures of two angles have a a sum of 180°. The measures if the angles are in a ratio of 5:1. Determine the measures of both angles by setting up and solving an equation.

Answer 1

I think, one angle is 150 and the other 30.

Explanation:

First, you can make a table of 3 columns: Angle 1, Angle 2 and Total

Then, you will work with the ratio 5:1 and say

Angle 1 Angle 2 Total

5 1 6

Then you do a little algebra process like this:

6a=180

6 x a /6= 180 / 2

a=30

6a=180

6 x a / 6=180/2 This means 6 times a divided by 6= 180 divided by 2. We insolate the variable, and we cross out the two six

a=30 And our answer is 30.

You can choose any variable. In this case I did with the variable a since we are talking about angles.

Returning to the table, the thing we need to do is this:

Angle 1 Angle 2 Total

5 1 6

150 30 180

We need to multiply 5x30 and 1x30

Then we add 150 plus 30 is 180.

So one angle is 150 and the other 30.

Hope this helps.

Answer 2

one angle is 150 degrees and the other is 30 degrees.

Explanation:

please kindly check the attached file for explanation.