Sum of Interior Angles in Polygons
Derive and apply the formula for the sum of interior angles of an n-sided polygon.

Derive and apply the formula for the sum of interior angles of an n-sided polygon.
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10th Grade · Math · TEKS
4 lessons
Apply the Triangle Angle Sum Theorem, Exterior Angle Theorem, and polygon angle sum formulas to find missing angle measures.
verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems;
investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools;
analyze mathematical relationships to connect and communicate mathematical ideas; and