Question

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Answer 1

1) in a parallelogram opposite sides are equal so6=2x-10

16=2x

X=8

23=x+14

X=9

22=2x+6

16=2x

X=8

Answer 2

Note:

(i) We know that Opposite sides of a parallelogram are congruent.

(ii) We know that consecutive angles are supplementary.

(i)

⇒ 6 = 2x - 10

⇒ 6 + 10 = 2x

⇒ 16 = 2x

⇒ x = 8.

(ii)

⇒ x + 14 = 23

⇒ x = 23 - 14

⇒ x = 9.

(iii)

⇒ 22 = 2x + 6

⇒ 22 - 6 = 2x

⇒ 16 = 2x

⇒ x = 8.

(4)

⇒ 2x - 6 = x + 3

⇒ 2x - x = 3 + 6

⇒ x = 9.

(5)

⇒ 11x + 2 + 12x - 6 = 180°

⇒ 23x - 4 = 180°

⇒ 23x = 184°

⇒ x = 8.

Now,

m∠V = 12(8) - 6

         = 96 - 6

         = 90°.

Hope it helps!