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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


    What does this equation tell you?

  1. 2 right triangles, labeled as follows: Left triangle: vertical leg labeled, a, hypotenuse labeled, 7, angle opposite vertical leg labeled 23 degrees. Right triangle, vertical leg labeled, b, hypotenuse labeled 7, angle opposite horizontal leg labeled 67 degrees.

    Find the lengths of the unknown sides.