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In the circle below, angle JIL = 228 and angle IJK = 131.  Find the following.

 

(a) angle JIL

 

(b) angle ILK

 

 Mar 8, 2021
 #1
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angle JIL encompasses the rest of the circle arc    360 - 228 = 132

  the angle inscribed on the circle encompasses 2 times as much arc    angle JIL = 66o

 

Angle IJK and angle and angle ILK are supplementary (opposite angles inscrided quadrilateral = 180)

   180 - 131 = 49= angle ILK

 Mar 8, 2021

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