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Special Properties, SMB-024

A quadrilateral is drawn below.
 

What is the value of `x`?   (3 marks)

--- 6 WORK AREA LINES (style=lined) ---

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`117^@`

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`y^{\circ}=180-75 = 105^{\circ}\ \ \text{(180° in straight line)}`

`text{Sum of exterior angles = 360°}`

`z^{\circ}` `=360-(130+105+62)`  
  `=360-297`  
  `=63^{\circ}`  

 
`:.x^{\circ}=180-63 = 117^{\circ}\ \ \text{(180° in straight line)}`

Filed Under: Special Properties Tagged With: num-title-ct-pathb, smc-4748-20-Quadrilateral properties, smc-4748-60-Sum of exterior angles

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