Question

Find the value of xx and yy in the parallelogram below.

Answer 1

According to definition of parallelogram

• Opposite sides are equal in length
• Opposite sides are parallel
• Opposite angles are equal.
• Consecutive angles have sum 180°

So

• 3x-4=65
• 3x=65+4
• 3x=69
• x=69/3
• x=23

And

• y-4=91
• y=91+4
• y=95

Answer 2

Answer: x = 33, y = 95

Explanation:

The defintion of a parallelogram states that opposite sides are equal.

Therefore, 3x - 4 = 65 and y - 4 = 91.

We can now solve these equations.

3x = 69

x = 33

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y = 95