SOLUTION: ∠ 1 and ∠ 2 are complementary angles. ∠ 1 and ∠ 3 are vertical angles. If m ∠ 3 = 49°, find m ∠ 2

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Question 1014096: ∠ 1 and ∠ 2 are complementary angles. ∠ 1 and ∠ 3 are vertical angles. If m ∠ 3 = 49°, find m ∠ 2

Answer by macston(5194) About Me  (Show Source):
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∠ 1 and ∠ 2 are complementary angles. ∠ 1 and ∠ 3 are vertical angles. If m ∠ 3 = 49°, find m ∠ 2
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m ∠ 1 = m ∠ 3 = 49° . Vertical angles are equal.
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m ∠ 1 + m ∠ 2 = 90° . Sum of complementary angles=90°.
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49° + m ∠ 2 = 90°
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m ∠ 2 = 41°
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ANSWER: The measure of Angle 2 is 41 degrees.
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