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6) 15

7)5

8)120 degrees

9)60 degrees

10)9

Step-by-step explanation:

GHIJ is a parallelogram.

Opposite sides of a parallelogram are congruent.

3y - 1 = 2y + 1

3y - 2y = 1 + 1

y = 2

Opposite sides of a parallelogram are congruent.

4x + 3 = x + 12

4x - x = 12 - 3

3x = 9

x = 9/3

x = 3

6)GH = ?

GH = 4x + 3

GH = 4(3) + 3

= 12 + 3

= 15

therefore, GH = 15

7) HI = ?

HI = 2y + 1

= 2(2) + 1

= 4 +1

= 5

therefore, HI = 5

Opposite angles of a parallelogram are equal.

8) m(angle I) = 120 degrees (given)

therefore, measure of angle G = measure of angle I

therefore, m(angle G) = 120 degrees

Consecutive angles of a parallelogram are supplementary.

9) m(angle I) + m(angle J) = 180 degrees

120 + m (angle J) = 180

m(angle J) = 180 - 120

= 60 degrees.

The diagonals of a parallelogram bisect each other.

10) JK = 9 ( given)

JK = HK

therefore, HK = 9

answer: a and b

step-by-step explanation: