Question

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

Answer 1

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`

Answer 2

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