Question

Show that each quadrilateral is a parallelogram for the given values of the variables

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

parallelogram diagram

Step 02:

geometry:

parallelogram:

a = 2.4

b = 9

sides:

QP = RS

7a = 2a + 12

7(2.4) = 2(2.4) + 12

16.8 = 16.8

===> true

angles:

∠Q + ∠R = 180°

(10b - 16)° + (9b + 25)° = 180°

(10(9) - 16) + (9(9)+ 25) = 180

90 - 16 + 81 + 25 = 180

180 = 180

===> true

That is the full solution.