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Name: ____________________________________________________________ Date: _________________________ Period: _____ Chapter 2: Keyword Proofs Topic 6: Angles in a Triangle Important Facts: The sum of the 3 angle measures of any triangle is __________________ degrees. The exterior angle of a triangle is formed by one side of a triangle and the extension of an adjacent side. Diagram: In any triangle, the measure of the exterior angle is equal to the sum of the measures of the non-adjacent interior angles. An ______________________________ triangle is a triangle with at least two sides of equal length. The base angles of an isosceles triangle are equal in measure. The vertex angle is the angle that is not equal. Diagram: An ____________________________triangle is a triangle in which all three sides are equal. The measures of each angle in an equilateral triangle is __________degrees. Diagram: Find the measure of angle x in the figure below. Use an algebraic expression to solve and explain your calculations. ***Diagram not drawn to scale*** 1.) 2.) Name: ____________________________________________________________ Date: _________________________ Period: _____ Examples: In each figure, determine the measures of the unknown (labeled) angles. Give reasons for your calculations. Images not drawn to scale. 1.) 2.) 3.) Name: ____________________________________________________________ 4.) Hint: Auxiliary Lines 5.) 6.) Hint: Auxiliary Lines Date: _________________________ Period: _____