Question

Find the measure of all four angles of a parallelogram whose consecutive angles are in the ration 1:3

Answer 1

We can take one angle of the parallelogram as x.
The ratio is 1:3=x:3x
The opposite angles of the parallelogram are equal.
Therefore, it can be written as x+x+3x+3x=360.
                                                              8x=360
                                                                x=360/8
                                                                x=45
The angles are 45,45,135 and 135.
                                                       

Answer 2

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