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Home > CC3MN > Chapter 9 > Lesson 9.1.3 > Problem 9-46

9-46.

For each diagram below, solve for . Explain what method you used for each problem.

  1. Two adjacent angles together form a right angle. The angle on the left is, 6 x. The angle on the right is, 4x, + 10 degrees.

    The two angles are complementary, meaning they have a sum of .

  1. Two adjacent angles together form a line. The angle on the left is, 5 x + 13 degrees. The angle on the right is, 3 x + 7 degrees.

    The two angles are supplementary (have a sum of ).

  1. A triangle with angles labeled: 3 x + 5 degrees, 2 x + 18 degrees, and 2 x + 17 degrees.

    According to the Angle Sum Theorem, the sum of the interior angles of a triangle is .

  1. A right triangle with angles labeled, 30 degrees, and x.

    How did you solve part (c)? Use the same method.

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