Question

question
find the value of x and y in the parallelogram below.
-y+3
71
8x+7
170
answer attempt 1 out of 2
x =
y =

Explanation:

Step1: Use property of parallelogram (opposite sides equal) for x.

In a parallelogram, opposite sides are equal. So, \( 8x + 7 = 71 \).
Subtract 7 from both sides: \( 8x = 71 - 7 = 64 \).
Divide both sides by 8: \( x = \frac{64}{8} = 8 \).

Step2: Use property of parallelogram (opposite sides equal) for y.

Opposite sides are equal, so \( -y + 3 = 170 \).
Subtract 3 from both sides: \( -y = 170 - 3 = 167 \).
Multiply both sides by -1: \( y = -167 \).

Answer:

\( x = 8 \), \( y = -167 \)