Answered

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

Find The Value Of Xx Yy And Zz In The Parallelogram Below class=

Sagot :

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

Step-by-step 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

According to definition of parallelogram

  • opposite sides and angles are equal

  • Consecutive sides have sum 180°

[tex]\\ \rm\hookrightarrow 2x+9+99=180[/tex]

[tex]\\ \rm\hookrightarrow 2x+108=180[/tex]

[tex]\\ \rm\hookrightarrow 2x=72[/tex]

[tex]\\ \rm\hookrightarrow x=36[/tex]

  • 2x+9=72+9=81

And

  • -3z+6=81
  • -3z=75
  • z=-25

And

  • 9y+9=99
  • 9y=90
  • y=10
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