### SAT Prep Class: Alternate Interior Angles

Check out Bas Rutten's Liver Shot on MMA Surge: http://bit.ly/MMASurgeEp1 SAT Prep Question #16 Question: Line "l" is parallel to line "m." What is the value of angle "x"?? This problem uses the alternate interior angle theorem, which states: when two parallel lines are cut by a transversal line, their alternate interior angles are equal to each other. This is a popular theorem so it's a good idea to make sure you're comfortable with it.? In the diagram above, line "t" is a transversal line that cuts lines "l" and "m," which are parallel lines. Therefore, angle "y" and angle "x" are equal since they are alternate interior angles. So once you find the value of angle "y," you'll know the value of angle "x."? Solve the Problem 1. Since x=y, first use the diagram to solve for "y."? 2. On line?"l,"?angle? "y"?and the 110° angle are supplementary angles, which means that they form a straight line and together equal 180°. Therefore y+110=180.? 3. Solve the equation y+110=180.? y?=180-110=70.? So y=70°.? 4. Since x=y and y=70, then x=70°. Read more by visiting our page at: http://www.mahalo.com/courses/sat-math-prep/practice-questions/alternate-interior-angles/

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