Geometry

# General Polygons - Angles

If the measures of five interior angles of a hexagon are each $135 ^ \circ$, what is the measure (in degrees) of the remaining interior angle?

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?

 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?

 Details and assumptions:

• If your answer is $50^\circ$, type it in as $50$.
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