Question

Answer from the 4 options.
ASAP​

Answer 1

• D. XY = 5 , YZ = 2

Step-by-step explanation :

As We Know that Opposite sides of the Parallelogram are equal.

SO,

(i) YZ = XW (opposite sides)

• YZ = 2b
• XW = b + 1

→ 2b = b + 1

→ 2b - b = 1

→ b = 1

Since, YZ = 2b

→ YZ = 2 × 1

→ YZ = 2.

Also,

(ii) XY = WZ (opposite sides)

• XY = 3a - 4
• WZ = a + 2

→ 3a - 4 = a + 2

→ 3a - a = 2 + 4

→ 2a = 6

→ a = 6/2

→ a = 3 .

Since, XY = 3a - 4

putting the value of a = 3.

=> 3(3) - 4

→ 9 - 4

→ 5

XY = 5.

Therefore, Option D is the required answer.

Answer 2

From the figure XY and WZ are opposite sides and XW and YZ are the opposite sides.

• Opposite sides of Parallelogram are equal.

XY = WZ

3a - 4 = a + 2

3a - a = 2 + 4

2a = 6

a = 6/2

a = 3

Now put the value of a in XY

XY = 3a - 4

XY = 3(3) - 4

XY = 9 - 4

XY = 5

Similarly,

XW = YZ

2b = b + 1

2b - b = 1

1b = 1

b = 1

Now put the value of b in YZ

YZ = 2b

YZ = 2 × 1

YZ = 2

• XY = 5 and YZ = 2