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Home > CC3 > Chapter 9 > Lesson 9.2.2 > Problem 9-79


Calculate the value of .

  1. A right triangle has another angle labeled 46 degrees. The leg opposite the 46 degree angle, is extended, creating an exterior angle of x degrees.

    An exterior angle of a triangle is equal to the sum of the two remote interior angles.

  1. 2 horizontal parallel lines, are crossed by transversal line, with angles labeled as follows:  Upper intersection: interior right, 77 degrees. Lower intersection: exterior left, x.

    Notice that the  angle corresponds to the angle adjacent to angle . This angle is complementary to angle .

    The vertical angle is equal to the angle because they are alternate interior angles on parallel lines.