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TiliK225 [7]
2 years ago
8

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

Mathematics
2 answers:
marshall27 [118]2 years ago
8 0

Opposite angles are equal

\\ \rm\hookrightarrow 90=-y-10

\\ \rm\hookrightarrow -y=90+10

\\ \rm\hookrightarrow y=-100

And consecutive angles have some 180

  • So all angles are of 90°

\\ \rm\hookrightarrow 3z-3=90

\\ \rm\hookrightarrow 3z=93

\\ \rm\hookrightarrow z=31

And

\\ \rm\hookrightarrow 4x-2=90

\\ \rm\hookrightarrow 4x=92

\\ \rm\hookrightarrow 23

Yuki888 [10]2 years ago
4 0

Solution:

<u>It should be noted:</u>

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

<u>Thus:</u>

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

<u>Finding x:</u>

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

<u>Finding y:</u>

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

<u>Finding z:</u>

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