3.2 Parallel – TheWorksheets.CoM – Page 2

3.2 Parallel Lines and Transversals - Big Ideas Learning

Section 3.2 Parallel Lines and Transversals 133 Using Properties of Parallel Lines Find the value of x. a b 4 115° (x + 5)°SOLUTION By the Vertical Angles Congruence Theorem (Theorem 2.6), m∠4 = 115°.Lines a and b are parallel, so you can use the theorems about parallel lines. m∠4 + (x + 5)° = 180° Consecutive Interior Angles Theorem 115° + (x + 5)° = 180° Substitute 115° for m∠4.