Question

use parallelogram abcd. what are the values of x and y?
x=
y=

Explanation:

Step1: Use the property of parallelogram (opposite sides are equal) for side \(AD\) and \(BC\)

In a parallelogram \(ABCD\), \(AD = BC\).
So, \(3x−9 = 42\)
Add \(9\) to both sides: \(3x=42 + 9\)
\(3x=51\)
Divide both sides by \(3\): \(x=\frac{51}{3}\)
\(x = 17\)

Step2: Use the property of parallelogram (opposite sides are equal) for side \(AB\) and \(DC\)

In a parallelogram \(ABCD\), \(AB=DC\).
So, \(4y−3 = 37\)
Add \(3\) to both sides: \(4y=37 + 3\)
\(4y=40\)
Divide both sides by \(4\): \(y=\frac{40}{4}\)
\(y = 10\)

Answer:

\(x = 17\)
\(y = 10\)