### SAT Prep Class: Solving for a Missing Angle

Check out Bas Rutten's Liver Shot on MMA Surge: http://bit.ly/MMASurgeEp1 SAT Prep Question #10 Question: In the figure shown, line "l" is perpendicular to line "m." The ray dissects the angle between them. What is the the measure of angle "x"? This problem can be solved in a straight forward manner as long as you understand the definition of perpendicular. When two lines are perpendicular, it means that they form a 90° angle between them.? Since the?90° angle in the figure is broken up by the ray, you can use the provided angle to determine the measure of the unknown one.? Solve the Problem 1. Since lines "l" and "m" are perpendicular, the angle between them must equal?90°.? 2. The ray dissects the angle between lines?"l" and "m." The problem tells you that part of the angle is 55°.? 3. Since the two parts of the angle must add up to?90°, you can set up an equation to solve for the missing angle:? 55°+x=?90° 4. Solve the equation to solve for "x." Subtract 55 from both sides to get:? x=90-55 x=35 The measure of angle "x" is 35°. Read more by visiting our page at: http://www.mahalo.com/courses/sat-math-prep/practice-questions/solve-for-a-missing-angle/

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