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Question

In parallelogram ABCD, A=3 times B.

Find all the angles of the parallelogram.

In the same parallelogram,~if AB=5x7 and

CD = 3x+1; find the length of CD.


Solution

Let B=x             A=3B=3x               AD||BC    A+B=180                 3x+x=180                      4x=180                    x=45                 B=45&                A=3x=3×45                           =135 opposite angle of || gm are equal.              A=C=135and            B=D=45   opposite sides of || gm are equal.              AB=CD           5x7=3x+15x3x=1+7        2x=8          x=4CD=3×4+1      =13Hence 135, 45, 135 and 45 ; 13


Mathematics
Concise Mathematics
Standard VIII

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