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  • 17-05-2020
  • Mathematics
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This circle is circumscribed about quadrilateral ABCD. What is the value of x?

This circle is circumscribed about quadrilateral ABCD What is the value of x class=

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CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 17-05-2020

Answer:

The value of x is 56°

Step-by-step explanation:

Given that opposite angles in a cyclic quadrilateral is add up to 180°. So in order to find x, you have to write an expression in terms of x :

[tex]97 + x + 27 = 180[/tex]

[tex]x + 124 = 180[/tex]

Next you have to solve it by substracting 124 to both sides :

[tex]x + 124 - 124 = 180 - 124[/tex]

[tex]x = 56[/tex]

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