# 21 Fresh What Is The Polygon Angle Sum Theorem What Is The Polygon Angle Sum Theorem sum theoremThe Angle Sum Theorem gives an important result about triangles which is used in many algebra and geometry problems We give the proof below Theorem The sum of the measures of the interior angles of a triangle is 180 What Is The Polygon Angle Sum Theorem bcerrone EHS Website Geometry Polygon Angle Sum Theorem The measure of one interior angle of a convex polygon is 144 How many sides does the figure have Name the polygon appropriately Exercises Find the sum of the interior angle measure of each convex polygon 1 octagon 2 decagon 3 heptagon 4 102 gon Find the measure of one interior angle of each regular polygon

mathematics angle sum theorem htmlThe figure above shows two pairs of alternate interior angles For the pair in red angle 1 angle 2 For the pair in blue angle 3 angle 4 Now take a close look at the figure below I claim that angle x is equal to 85 degrees so the sum is 180 degrees What Is The Polygon Angle Sum Theorem science answers Science Math and Arithmetic GeometryTheorem 6 1 2 Polygon Exterior Angle Sum Theorem The sum of the exterior angle measures one angle at each vertex of a convex polygon is 360 degrees

interior angles sum theoremThe sum of the measures of the interior angles of an octagon 8 2 180 6 180 1080 The sum of the measures of the interior angles of an octagon is 1080 What Is The Polygon Angle Sum Theorem

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