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Home > CCG > Chapter 12 > Lesson 12.2.2 > Problem 12-71

12-71.

For each situation below, decide if is greater, is greater, if they are the same value, or if not enough information is given.  

  1.  is the measure of a central angle of an equilateral triangle; is the measure of an interior angle of a regular pentagon.

    The central angle of the triangle is  divided by , which is .

  1. Two increasing lines are cut by a decreasing transversal. At the left intersection, The interior top angle is labeled, a, at the right intersection, The exterior bottom angle is labeled, b.

    Is there enough information given?
    What do you need to know?

  1. Right triangle, labeled as follows: hypotenuse, 12, vertical leg, 8, angle opposite vertical leg, a, angle opposite horizontal leg, b.

    Third side is approximately units, so is opposite the greater side and must be greater than .

  1.  

    What does this equation tell you?

  1. Two right triangles. First triangle has legs, a and 7. 23 degrees angle is opposite, side, a. Second triangle has a height of 2 and hypotenuse of, b. 49 degrees angle is in between the height and hypotenuse.

    Find the lengths of the unknown sides.

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