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10-46.

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 lines are cut by a transversal. The interior left angle between the top parallel line and the transversal is, a. The exterior right angle between the lower parallel line and the transversal is, b.

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

  1. A right triangle with a hypotenuse of 12 and a leg, 8. Angle, a, is opposite side, 8. Angle, b, is opposite the unknown side.

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

  1. a = b + 3

    What does this equation tell you?

  1. Two right triangles. First triangle has a height of, a, and hypotenuse of, 7. 23 degrees angle is opposite, side, a. Second triangle has a height of b and hypotenuse of, 7. 67 degrees angle is in between the height and hypotenuse.

    Find the lengths of the unknown sides.