Question

The adjacent angles of a parallelogram are 2x-4 and (3x-1) . Find the measures of all the angles of a parallelogram .

Answer 1

Sum of adjacent angles of a parallelogram=180°

2x-4+3x-1=180

5x-5=180

x-1=36(Dividing by 5)

x=37°

Since opposite angles are equal,

two angles are

2x-4

=74-4

=70°

ad other two are

3x-1

=111-1

=110°

Answer 2

since sum of adjacent angles of a parallelogram is 180

2x-4+[3x-1] = 180

2x+3x-4-1   = 180

5x                =180+5

x                   = 185/5

x                   =37

therefore <1=2x-4=2*37-4=70

               <2=3x-1=3*37-1=110

                <3=<1=70  {opposite angles of parallelogram is equal}

               <4=<2=110  {opposite angles of parallelogram is equal}

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