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## General Polygons

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

# 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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