apradhan49
apradhan49 apradhan49
  • 01-02-2021
  • Mathematics
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Classify the quadrilateral then find the values of the variable (s) PLS HELPPP

Classify the quadrilateral then find the values of the variable s PLS HELPPP class=

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Garden555 Garden555
  • 01-02-2021

Answer:

x = 58°, y = 32°

Step-by-step explanation:

all sides are equal, hence it is a rhombus.

in a rhombus, diagonals meet at 90degree..

hence in triangle,

58 + 90 + z = 180 (asp of a triangle.)

z = 32

y = z ( alternate interior angles as lines are parallel in rhombus)

y = 32

in the bigger triangle,

angles opposite to equal sides are equal, hence,

32 + 32 + (58 + x) = 180 ( angle sum property of a triangle,)

hence, x = 58

therefore,

x = 58°, y = 32°

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