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Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 Date: Lesson 8 Solve for Unknown Angles—Angles in a Triangle 1 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 DO NOW: Find the measure of angle x in the figure to the right. Explain your calculations. (Hint: Draw an auxiliary line segment.) 2 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 Discussion The sum of the 3 angle measures of any triangle is . In any triangle, the measure of the exterior angle is equal to the sum of the measures of the angles. These are sometimes known as _________________________ angles. Base angles of an Each angle of an __________ triangle are equal in measure. __________ triangle has a measure equal to 60°. Relevant Vocabulary Isosceles Triangle: An isosceles triangle is a triangle with at least two sides of equal length. Equilateral Triangle: An equilateral triangle is a triangle with three sides of equal length. DRAW: 3 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 Exercises 1. Find the measure of angle ‘a’ in the figure to the right. Justify your results. 4 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 In each figure, determine the measures of the unknown (labeled) angles. Give reasons for your calculations. 5 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 3) 6 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 4) 7 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 5) 6) 8 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 9 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 9) 10) 10 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 Geometry M1L8 HW Solve for Unknown Angles in Triangles Find the unknown (labeled) angle in each figure. Justify your calculations. 2) 11 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 3) 12 Geo M1L8 Solve for Unknown Angles in Triangles 91216 P.4.notebook September 14, 2016 Challenge Problem: 13