Section 3.2 Properties of Parallel Lines

If two parallel lines are cut by a transversal, then Alternate interior angles (AIAs) are Alternate exterior angles (AEAs) are Corresponding Angles (CAs) are

If two parallel lines are cut by a transversal, then Same side interior angles (SSIAs) are SUPPLEMENTARY Same side exterior angles (SSEAs) are SUPPLEMENTARY

JUSTIFY State the Theorem or Definition to JUSTIFY ! Vertical Angle Theorem CAs AEAs AIAs CAs or AEAs

Find the values of x and y. o o 67 O 67 o + 55 o 122 o 180 o o 58 o

Find the value of x, y and z. o 109 o 2x - 31 = 109 o 2x = 140 x = 70 5y + 44 = 109 o 5y = 65 y = o – 109 o = = 4z z = 17.75

Find the values of x and y. 180 o – 50 o 130 o 180 o – 70 o 110 o 4x + 2y = 130 o 4x – 2y = 110 o 8x = 240 x = 30 4(30) – 2y = – 2y = 110 – 2y = -10 y = 5

Find the values of x and y. 180 o – 148 o 32 o 180 o –136 o 44 o 11x – 3y = 32 o 6x + 5y = 44 o 73x = 292 x = 4 6(4) +5y = y = 44 5y = 20 y = 4 5(11x – 3y = 32 o ) 3(6x + 5y = 44 o ) 55x – 15y = 160 o ) 18x + 15y = 132 o )

PARTNER PRACTICE Page 80 Classroom Exercises #2 – 10 Page 81 Written Exercises #7 and 8