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Answers to Question 6: m∠1 = 92, m∠2 = 88

    The sum of a linear pair's angles is 180°, so we will set up an equation to solve.

(x + 67) + (3x + 13) = 180

4x + 80 = 180

4x = 100

x = 25

    -

(x + 67) ➜ (25 + 67) ➜ 92

(3x + 13) ➜ (3(25) + 13) ➜ 88

Answer to Question 7: m∠2 = 56

    Vertical angles are congruent, or equal, so we can set up an equation to solve.

(5x + 16) = (4x + 24)

x = 8

    -

(5x + 16) ➜ (5(8) + 16) ➜ 56

(4x + 24) ➜ (4(8) + 24) ➜ 56

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