Need with questions 9 to 11 both a's and b's. show work step by step and theorems that justifies/supports the respective answers.

Step-by-step explanation:

9) EFGH is a parallelogram. In a parallelogram, consecutive angles are supplementary. It means that the sum of the consecutive angles is 180 degrees.

Therefore,

16x - 2 + 8x + 14 = 180

16x + 8x = 180 - 14 + 2

24x = 168

x = 168/24

x = 7

Angle E = 8x + 14 = 8 × 7 + 14

Angle E = 56 + 14 = 70 degrees

b) consecutive angles are supplementary.

10) it is given that JM is parallel to KL.

Given that x = 3,

JM = 5x - 1 = 5 × 3 - 1 = 14

KL = 3x + 5 = 3 × 3 + 5 = 14

Since JM and KL are parallel and equal, then JK and ML is also equal and parallel. Therefore,

The quadrilateral is a parallelogram.

b) The opposite sides of a parallelogram are equal and parallel.

11) x = 7

y = 14

J = 9y + 1 = 9 × 14 + 1

J = 127 degrees

L = 10y - 13 = 10 × 14 - 13

L = 127 degrees

K = 7x + 4 = 7 × 7 + 4

K = 53 degrees

M = 360 - (127 + 127 + 53) = 360 - 307

M = 360 - 307 = 53 degrees

It is a parallelogram because

J = L and M = K

b) The opposite angles of a parallelogram are congruent. The consecutive angles of the parallelogram are supplementary. The sum of the angles in a parallelogram is 360 degrees

answer: need picture of problem

step-by-step explanation: