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Geometry 3-3 Proving Lines Parallel • Use two different colors to mark all of the congruent angles. • These angles are only congruent because the lines are parallel Determine if r || s. m2 = (10x + 8)°, m3 = (24x – 3)°, x = 5 m2 = 10(5) + 8 = 58° m3 = 24(5) – 3 = 117° 58° + 117° = 175° 2 + 3 should equal 180, so r is not parallel to s Determine if r || s. m8 = (3x + 10)°, m4 = (4x – 2)°, x = 12 m8 = 3(12) + 10 = 46° m4 = 4(12) – 2 = 46° 8 + 4 should be equal, so r || s (r is parallel to s) What value of x makes a || b? a b t 140° 140 + 16x + 8 = 180 16x + 148= 180 -148 -148 16x = 32 x =2