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Find the value of x, y, and z in the rhombus below.

Find The Value Of X Y And Z In The Rhombus Below class=

Sagot :

Answer:

Step-by-step explanation:

For a rhombus, the opposite angles are equal:

74=5y+9

5y=65

y=13

For a rhombus, the adjacent angles are supplementary:

74+(z-10)=180

z-10=106

z=116

74+(x+7)=180

x+7=106

x=99

Opposite angles in a paralleogram are equal

  • 5y+9=74
  • 5y=65
  • y=13

And Consecutive angels have sum 180

  • x+7+74=180
  • x=180-81
  • x=109

And

  • z-10=109+7
  • z-10=116
  • z=126
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