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3.2 Parallel Lines and Transversals 129 EXAMPLE 2 Using Properties of Parallel Lines Find the value of x. 4 a b 115° (x + 5)° SOLUTION By the Vertical Angles Congruence Theorem, m∠4 = 115°. Lines a and b are parallel, so you can use theorems about parallel lines. m∠4 + (x Consecutive Interior Angles Theorem+ 5)° = 180°
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