# How to find the angle measures of a inscribed polygon?

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sqdancefanWhen the quadrilateral is inscribed in a circle, opposite angles add to 180°. 26y +2x = 180 21y +3x = 180 There are many ways to solve these equations. Shown here is a graphical solution that tells us x = 25 y = 5 Then the angles are ... ∠A = 26y° = 130° ∠B = 3x° = 75° ∠C = 2x° = 50° ∠D = 21y° = 105°