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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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