Geometry
# General Polygons

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

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

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 $50$.

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 $50$.