Question

1.In a figure ABCD is a parallelogram, if ab=4.5 cm,then find the other sides of the parallelogram when its perimeter is 21 cm.

2.In a parallelogram ABCD, angle A : angle D= 2:3, then find the angles of the parallelogram.

3.In a figure, if angle B= 68 degree, find angle A, angle c and angle D.

Please kindly answer all the questions asked above...........

Answer 1

I'd solved the question. See the attachment.

Answer 2

In a parallelogram ABCD,  AB= CD,  BC=AD  , angles  A = C,   B = D
and  A+B = C+D = 180 deg

1. perimeter = 2AB +2 BC = 21 cm,   AB = 4.5 cm
    BC = 12/2 = 6 cm.            CD=4.5 cm,   AD = 6 cm

2. A/D = 2/3   =>   A = 2 D/3   =>    A+D = D+2D/3 = 5D/3  = A+B = 180
           D = 180*3/5 = 108 deg    A = 72 deg  = C     B = D = 108 deg

3. A = 180 - 68 = 112 deg,   C = A = 112 deg,    D = B = 68 deg