Question

in parallelogram ABCD a= 3 b . find all the angles of the parallelogram . in the same parallelogram . in the same parallelogram if ab =(5x-7) cm and CD = (3x+1)cm find the length of cd​

Answer 1

ANSWER :

The angles are 45°, 135°, 45°, 135°

The side CD = AB = 13 cm

EXPLANATION :

A = 3B

In a parallelogram, Adjacent angles are supplementary

So A+B = 180°

3B+B = 180°

4B = 180°

B=180/4

B=45°

So A = 3×45 = 135°

C = A = 45°(opp angles are equal)

D = B = 135°(opp angles are equal)

Now to find the sides,

In a parallelogram opposite sides are equal

AB = CD

5x - 7 = 3x+1

2x = 8

x = 4

So AB = 5x - 7 = 5(4) - 7 = 20 - 7 = 13 cm

AB = CD = 13 cm