Question

Find the value of x and y in the parallelogram below.

Answer 1

Solution:

It should be noted:

• A rhombus's opposite sides are always equal.

Thus:

• 3y + 1 = 94
• -x + 2 = 72

Simplify both equations to find x and y.

Finding x:

• -x + 2 = 72
• => -x = 72 - 2
• => -x = 70
• => x = -70

Finding y:

• 3y + 1 = 94
• => 3y = 94 - 1
• => 3y = 93
• => y = 31

Answer 2

Opposite sides are equal

$\\ \rm\hookrightarrow -x+2=72$

$\\ \rm\hookrightarrow -x=-70$

$\\ \rm\hookrightarrow x=70$

And

$\\ \rm\hookrightarrow 3y+1=94$

$\\ \rm\hookrightarrow 3y=93$

$\\ \rm\hookrightarrow y=31$