Question

If two consecutive angles of a parallelogram are in the ratio of 3:5, what are the measures of each angle?

Answer 1

67.5,112.5,112.5,67.5

Answer 2

Let the common ratio be a
Then the angles will measure 3a and 5a

As we know...sum of Consecutive angles of a parallelogram measures 180 degrees

3a+5a=180
8a=180
a=180/8=22.5

Substituting the value of a..

First angle =3*22.5=67.5 degrees
Second angle =5*22.5=112.5 degrees

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