Math 10 Angles/Similar Triangles Name: ____________ Show your thinking for full marks. Part A: Angles 1. Solve for unknowns and find the measure of each angle. Use an appropriate equation and show all proper mathematical steps. a) b) a 35 98 z y x z 82 x =____ y = _____ z = ______ a = ___ y = ____ x y 121 x = ___ z = ____ c) d) 2. Explain why an Acute Triangle contains three acute angles but an Obtuse Triangle can only have one obtuse angle. Include diagrams with your discussion. Part B: Similar Triangles 3. Using your properties of similar triangles set up a proportion and solve for x. a) b) 9 9 x x 8 12 8 24 c) d) 4. Set up two scalene triangles that are similar, but not congruent, and fill in the similarity statement. Make sure you indicate the equivalent angles on each triangle and label the vertices properly. _______ ________ 5. Tommy is 5 ft tall and casts a 4 ft shadow. At the same time of day the shed next to him is casting a 9.6 ft shadow. How tall is the shed?