Respuesta :

Answer:

PART 1

1) BC = AD = 16.4

2) CD = AB = 13.9

because JKMN is a parallelogram

=> KJ = ML

<=> y + 3 = 2y - 1

<=> y = 4

we also have: KL = JM

<=> 3x + 5 = 4x

<=> x= 5

3) with y = 4 => JK = 4 + 3 = 7

4) with x = 5 => KL = 3.5 + 5 = 20

PART 2

5) W = Y = 112⁰

6) Z = 180⁰ - 112⁰ = 68⁰

ABCD is a parallelogram

=> A + B = 180⁰

<=> 2y + 4y = 180

<=> y = 30

we also have:

C + D = 180⁰

<=> x + 5x - 180 = 180

=> x = 60

7) with y = 30 => A = 2.30 = 60⁰

8) with x = 60 => D = 5.60 - 180 = 120⁰

PART 3

9) EG = 2.HG = 2.14 = 28

10) DH = 1/2.DF = 20/ 2 = 10

QRSP is a parallelogram

=> 2y + 2 = 2x

x + 9 = 2y

=> x = 11

y = 10

11) with x = 11 => RT = 11 + 9 = 20

12) QS = 2.ST = 2.2.11 = 44

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