SOLUTION: The ratio of the angle measures in a parallelogram are 2:3:2:3. Find the measure of the following angles:

Question 1153977: The ratio of the angle measures in a parallelogram are 2:3:2:3. Find the measure of the following angles:
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!

The sum of all the angles of a polygon having n sides (n >= 3) is given by
degrees.
The sum of all the angles of a parallelogram (which has 4 sides) is
4 * 90 = 360 degrees
The angles are in the ratio 2:3:2:3
So if we assume the first angle is 2x, the other angles are 3x, 2x and 3x. (As you know, opposite angles of a parallelogram are equal)
So sum of the angles -

Solving,
Hence the 4 angles are 2x, 3x,2x, 3x i.e.
, , and degrees
Check: Sum = 72 + 108 + 72 + 108 = 360. Confirmed.

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