Question

find the value of x and y in the parallelogram below.
118
47
x+10
3y-8
answer attempt 1 out of 2
x =
y =

Explanation:

Step1: Recall properties of parallelogram

In a parallelogram, opposite sides are equal in length. So, we can set up equations based on this property.

Step2: Solve for \( x \)

One pair of opposite sides: \( x + 10 = 47 \) (since opposite sides are equal).
Subtract 10 from both sides: \( x = 47 - 10 \)
\( x = 37 \)

Step3: Solve for \( y \)

Another pair of opposite sides: \( 3y - 8 = 118 \) (since opposite sides are equal).
Add 8 to both sides: \( 3y = 118 + 8 \)
\( 3y = 126 \)
Divide both sides by 3: \( y = \frac{126}{3} \)
\( y = 42 \)

Answer:

\( x = 37 \), \( y = 42 \)