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Convex and concave, regular and irregular, similar and congruent – learn every variety of polygon you can encounter.

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What is the measure (in degrees) of \( \angle B + \angle D\) in the diagram below?

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What is the measure of \( \angle x + \angle y\) in the diagram below?

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What is the measure (in degrees) of \( \angle x\) in the diagram below?

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**Details and assumptions:**

- If your answer is \(50^\circ \), type it in as \(50\).

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If the ratio of the four interior angles of quadrilateral \(ABCD\) in the diagram below is given as \(\angle A : \angle B : \angle C : \angle D = 4 : 2 : 1 : 5 ,\) what is the measure of the biggest angle?

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**Details and assumptions:**

- If your answer is \(50^\circ \), type it in as \(50\).

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