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Name: _______________________ Triangles – Angle Measures of Triangles Date: _____________ Class: Pre-Algebra Sheet # 12-01 Investigation You will be split into groups of four. You will have two of each angle measure: 20°, 30°, 45°, 60°, 70°, 90°. You will put two angles together to form a triangle. Use your protractor to find the measure of the third angle. Classify by angles: 4 Task: In your groups, use your transparency papers to connect given angles to form a triangle. Use your protractor to measure third angle. Fill in table. Classify by sides: Classify by angles: 5 Classify by sides: 6 1 Refer back to the table above. Compare the sum of the angle measures. Describe any patterns that are found. Classify by angles: Classify by sides: 7 2 Can the angle measures 20°, 70° and 60° form a triangle? Explain. Use your transparency papers to check your answer. 8 3 Two angles of a triangle are 40º and 80 º. Find the measure of the third angle of the triangle. A 30° B 60° C 80° D 120° A right triangle has a 35° angle. Find the measure of the other two angles. A 55° and 90° B 25° and 90° C 135° and 90° D 35° and 90° If two angles of a triangle measures 43° and 48°, the triangle is A obtuse B isosceles C acute D right 9 What is the measure of angle x in the figure below? 14 Find the value of x in each triangle. PART A 10 What is the measure of angle x in the figure below? PART B 11 What is the measure of angle x in the figure below? PART C PART D 12 A triangle is used in the game of pool to rack the pool balls. Find the missing measure in the triangle. PART E 13 Determine whether each statement is sometimes, always, or never true. Justify your response. PART A A triangle can contain more than one obtuse angle. 15 Find the measure of each angle. PART B A triangle can contain more than one right angle. PART C An equiangular triangle is acute. mA mB mC