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2 answers

Sum of angles = (n - 2)*180
This is because from any vertex, you can draw diagonals to the other vertices, which will form (n - 2) triangles. Each triangle has 180 degrees, so the total is (n - 2)*180.

You can also show a pattern
Triangle = 1*180 = 180
Qaudrilateral = 2*180 = 360
Pentagon = 3*180 = 540
Hexagon = 4*180 = 720
Heptagon = 5*180 = 900
Octagon = 6*180 = 1080
etc.

Because of this, the formula for a single angle is
[ (n - 2)*180 ] / n
This is just the total of all the interior angles, divided by the number of angles (which is the same as the number of sides).

2006-12-12 12:05:15 · answer #1 · answered by dmb 5 · 0 0

the rule to discover the sum of inner angles is n - 2 x a hundred and eighty. enable n characterize the type sides. when you consider which you have been given the consequence, merely artwork backwards, like in case you're fixing an trouble-free linear equation. Divide by employing a hundred and eighty and upload 2, which aspects 24 sides. additionally, the form is noted as a icosikaitetragon. that's an trouble-free question, and you in all possibility could have solved it on your guy or woman.

2016-12-30 07:56:38 · answer #2 · answered by ? 3 · 0 0

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