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i dont really get this can someone help me

 Feb 21, 2018
 #1
avatar+129852 
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In a  cyclic quadrilateral   [ a rectangle inscribed in a circle]  opposite angles sum to 180°

 

Therefore  ...this implies that

 

(x - 2)  + (x + 2)   =  180      simplify

 

2x  =  180      divide both sides by 2

 

x  =  90°

 

So   

Angle A  =  x + 2   =  90 + 2  =  92° 

Angle B  =  x - 2  = 90 - 2  =  88°

Angle D  =  x - 10  =  90 - 10  =  80° 

 

 

 

cool cool cool

 Feb 21, 2018

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