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Transcript
Geometry 4.3 Notes LT 4.3- I can find the measures of interior and exterior angles of triangles, and I can apply theorems about the interior and exterior angles of triangles. Triangle Sum Theorem: The sum of the measures of angles in a triangle is 180°. m∠A+m∠B+m∠C=180 Y Ex. A C B 12° 62° W 40° Z X Find m∠XYZ Find m∠WXY Find m∠YWZ Proven: The two acute angles if a right triangle are complementary. Proven: The angles of an equiangular triangle measure 60°. Exterior Angle Theorem The neasure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. (2x+3)° B Find m∠B Ex. 15° (5x+60)° A C D Third Angles Theorem If two angles of one triangle are congruent to two angles of another triangle, the third pair of angles are congruent. J K (4y)° Ex: F (6y-40)° G H I Find ∠J and ∠K