SOLUTION: The ratio of the angle measures in a parallelogram is 2 : 3 : 2 : 3. What is the measure of each angle

Algebra ->  Parallelograms -> SOLUTION: The ratio of the angle measures in a parallelogram is 2 : 3 : 2 : 3. What is the measure of each angle      Log On


   

Question 394592: The ratio of the angle measures in a parallelogram
is 2 : 3 : 2 : 3. What is the measure of each angle
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

2x+%2B+2x+%2B+3x+%2B+3x+=+360
10x+=+360
x+=+360%2F10
x+=+36

Now plug 36+back into 2x+%2B+2x+%2B+3x+%2B+3x to find each individual angle.
2%2836%29+=+72 degrees

2%2836%29+=+72 degrees
3%2836%29+=+108 degrees
3%2836%29+=+108 degrees

The sum of the angles of a parallelogram is 360 degrees.
How do we know the above angles are correct?

Let's add 72+%2B+72+%2B+108+%2B+108

If we get 360on BOTH SIDES of the equation, then we know we are correct.

72+%2B+72+%2B+108+%2B+108+=+360
144+%2B+216+=+360
360+=+360...It's correct!