Question

Find the value of xx, yy, and zz in the parallelogram below.

Answer 1

According to definition of parallelogram

• opposite sides and angles are equal

• Consecutive sides have sum 180°

`\\ \rm\hookrightarrow 2x+9+99=180`

`\\ \rm\hookrightarrow 2x+108=180`

`\\ \rm\hookrightarrow 2x=72`

`\\ \rm\hookrightarrow x=36`

• 2x+9=72+9=81

And

• -3z+6=81
• -3z=75
• z=-25

And

• 9y+9=99
• 9y=90
• y=10

Answer 2

Answer: x = 36, y = 10, and z = -25

Explanation:

99 and -3z +6 are same side interior angles, so they sum to 180 degrees.

99 -3z + 6 = 180

-3z = 75

z = -25

Opposite angles of a parallelogram are congruent

2x + 9 = -3x + 6

2x + 9 = 75 + 6

2x = 81 - 9

2x = 72

x = 36

9y + 9 = 99

9y = 90

y = 10