SOLUTION: Quadrilateral LUCK is inscribed in Circle S. If measure of angle LUC is equal to 96 and measure of angle UCK is equal to 77, find the measure of angle ULK.

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Question 1175506: Quadrilateral LUCK is inscribed in Circle S. If measure of angle LUC is equal to 96 and measure of angle UCK is equal to 77, find the measure of angle ULK.
Answer by ikleyn(53937) About Me  (Show Source):
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If a quadrilateral is inscribed in a circle, the pairs of its opposite angles are supplementary angles.


In other words, if a quadrilateral is inscribed in a circle, the pairs of its opposite angles sum up to 180°.


Thus ULK + UCK = 180°,  ULK = 180° - UCK = 180° - 77° = 103°.      ANSWER