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PLZ HELP ASAP INSCRIBED QUADRILATERALS

PLZ HELP ASAP INSCRIBED QUADRILATERALS-example-1

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For an inscribed quadrilateral, opposite angles add up to 180 degrees. In this case, if we are looking for the measure of angle D, we can use the fact that angles I & D add up to 180 degrees. Since angle I = 117:
117 + D = 180
D = 63 degrees
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