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

Answer:

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

Step-by-step explanation:

please kindly check the attached file for explanation.

Answer 2

Answer:

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

Step-by-step 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.