Question

find out the answer two numbers 20 21 22 and 23 in the picture also there will be quadruple points because of that extra work​

Answer 1

Explanation:

20) the plane figure is a parallelogram. In a parallelogram, the opposite sides are equal. This means that

2a + 6 = 3a - 10

3a - 2a = 6 + 10

a = 16

Also

6b - 3 = 5a + 1

6b = 5a + 1 + 3

6b = 5a + 4

Substituting a = 16 into 6b = 5a + 4, it becomes

6b = 5 × 16 + 4

6b = 84

b = 84/6 = 14

21) The opposite angles of a parallelogram are congruent. Therefore,

5b + 6 = 8a - 10

8a - 5b = 6 + 10

8a - 5b = 16 - - - - - - - - - - 1

Also

The sum of consecutive angles is 180 degrees. Therefore,

8a - 10 + 4a - 8 = 180

8a + 4a - 10 - 8 = 180

12a = 180 + 18 = 198

a = 198/12 = 16.5

Substituting a = 16.5 into equation 1, it becomes

8 × 16.5 - 5b = 16

132 - 5b = 16

5b = 132 - 16 = 116

b = 116/5 = 23.2

22) The diagonals of the he parallelogram bisect each other. Therefore,

5b - 7 = 3b + 6

5b - 3b = 6 + 7

2b = 13

b = 13/2 = 6.5

Also,

3b - 5 = 2a

2a = 3 × 6.5 - 5

2a = 14.5

a = 14.5/2 = 7.25

23) opposite sides of the parallelogram are equal. Therefore,

1.4b = b + 8

1.4b - b = 8

0.4b = 8

b = 8/0.4 = 20

Also,

3a + 1.8 = 4a - 6.6 (they are alternate angles). Therefore,

4a - 3a = 1.8 + 6.6

a = 8.4