Geometry.5.E.20 - Cyclic Quadrilaterals – Exit Ticket

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What value of x guarantees that the quadrilateral shown in the diagram below is cyclic? Explain.

Given quadrilateral GKHJ, m∠KGJ + m∠KHJ = 180°, m∠HNJ = 60°, KN = 4, NJ = 48, GN = 8, and NH = 24, find the area of quadrilateral GKHJ. Justify your answer.

From EngageNY.org of the New York State Education Department. Grade Geometry Mathematics Module 5, Topic E, Lesson 20. Internet. Available from https://www.engageny.org/resource/geometry-module-...; accessed 14/Apr/2016.