Question

find the value of x and y in the parallelogram below.
2x+5
71
2y-3
31
answer attempt 1 out of 2
x =
y =

Explanation:

Step1: Recall parallelogram side property

In a parallelogram, opposite sides are equal. So, \(2x + 5=31\) (opposite sides) and \(2y - 3 = 71\) (opposite sides).

Step2: Solve for x

From \(2x+5 = 31\), subtract 5 from both sides: \(2x=31 - 5=26\). Then divide by 2: \(x=\frac{26}{2}=13\).

Step3: Solve for y

From \(2y - 3=71\), add 3 to both sides: \(2y=71 + 3 = 74\). Then divide by 2: \(y=\frac{74}{2}=37\).

Answer:

\(x = 13\), \(y = 37\)