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"Given that ABCD is a rhombus, what is the value of x?
A. 19.5
B. 45
C. 30
D. 56
E. 18.6
F. Cannot be determined

"

Given that ABCD is a rhombus what is the value of x A 195 B 45 C 30 D 56 E 186 F Cannot be determined class=

Respuesta :

HomertheGenius
If ABCD is a rhombus:
x + 4 x - 3° + 90° = 180°
5 x + 87° = 180°
5 x = 180° - 87°
5 x = 93°
x = 93° : 5
x = 18.6°
Answer: E ) 18.6

The value of x is E. 18.6°

What is a rhombus?

  • A parallelogram with four equal sides and sometimes one with no right angles is called a Rhombus.
  • Diagonals of a rhombus are perpendicular.

How to find the value of x?

As we know, diagonals of a rhombus are perpendicular

Let the diagonals meet each other at O

∴ Considering ΔAOB

x + 4x -3 + 90 = 180  ( Since sum of all the internal angles of a triangle is 180 ° )

⇒ 5x = 93

⇒ x = 93/5 = 18.6

The value of x is 18.6°

Find more about "Rhombus" here: https://brainly.com/question/26154016

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