Question

find the value of $x$ and $y$ in the parallelogram below.
answer
$x = square$ $y = square$

Explanation:

Step1: Use the property of parallelogram (opposite sides are equal)

For the sides with \(x\): \(2x + 5=31\)
Subtract \(5\) from both sides: \(2x=31 - 5\), so \(2x = 26\)
Divide both sides by \(2\): \(x=\frac{26}{2}=13\)

Step2: Use the property of parallelogram (opposite sides are equal)

For the sides with \(y\): \(2y-3 = 71\)
Add \(3\) to both sides: \(2y=71 + 3\), so \(2y=74\)
Divide both sides by \(2\): \(y=\frac{74}{2}=37\)

Answer:

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