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Geometry/convex quadrilateral

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Question
hi, i am in the 12th grade. i wanted to know what is the sum of the interior angles of a convex quadrilateral. i know its either 180 or 360 degrees but dont know which exactly. thanks alot!

Answer
Hannah,

A convex quadrilateral can look like a rectangle but doesn't have to have 4 right angles.

Now there's a formula for finding the sum of the interior angles of a polygon.  The formula is (n-2)*180 degrees.  n stands for the number of sides of the polygon.

Since a quadrilateral has 4 sides, substitute 4 into the formula. So the sum of the angles of a quadrilateral is (4-2)*180 degrees.  Do the arithmetic and you have your answer!

Here's a webpage that explains the formula and gives examples:
http://regentsprep.org/Regents/math/poly/LPoly1.htm
or
http://regentsprep.org/Regents/math/poly/JavaIntAngles.htm

Keep asking questions! Take care, Cynthia

Geometry

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Cynthia Watanabe

Expertise

I have taught high school mathematics for fourteen years. I can help students develop proofs, solve problems which require some algebra skills. Some topics that you may wish to explore include points, lines, planes, segments, rays, angles, polygons, solids, measurement, area, and volume.

Experience

I have taught high school mathematics fourteen years.

Education/Credentials
B.S. Secondary Education with a concentration in Mathematics. Master of Library and Information Science with a concentration in Archiving.

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