Answered

IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Our community is ready to provide in-depth answers and practical solutions to any questions you may have.

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 :

Solution:

It should be noted:

  • Opposite sides of a rhombus are always equal.
  • Opposite angles of a rhombus are always equal.

Thus:

  • (-y - 10) = 90°
  • 3z - 3 = 90°
  • 4x - 2 = 90°

Finding x:

  • 4x - 2 = 90°
  • => 4x = 90 + 2
  • => 4x = 92
  • => x = 23

Finding y:

  • (-y - 10) = 90°
  • => -y - 10 = 90°
  • => -y = 100
  • => y = -100

Finding z:

  • 3z - 3 = 90°
  • => 3z = 90 + 3
  • => 3z = 93
  • => z = 31

Opposite angles are equal

[tex]\\ \rm\hookrightarrow 90=-y-10[/tex]

[tex]\\ \rm\hookrightarrow -y=90+10[/tex]

[tex]\\ \rm\hookrightarrow y=-100[/tex]

And consecutive angles have some 180

  • So all angles are of 90°

[tex]\\ \rm\hookrightarrow 3z-3=90[/tex]

[tex]\\ \rm\hookrightarrow 3z=93[/tex]

[tex]\\ \rm\hookrightarrow z=31[/tex]

And

[tex]\\ \rm\hookrightarrow 4x-2=90[/tex]

[tex]\\ \rm\hookrightarrow 4x=92[/tex]

[tex]\\ \rm\hookrightarrow 23[/tex]

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.