Parallel Lines Cut by a Transversal Converse

What theorem states that "If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines being cut by the transversal are parallel?

• Converse of Alternate Interior Angle Theorem

• Corresponding Angle Postulate

• Perpendicular Transversal Theorem

• Same-Side Exterior of Angles Theorem

If two parallel lines are cut by a transversal then corresponding angles are __________.

• Congruent

• Supplementary

Alternate interior angles are _________.

• Congruent

• Supplementary

If two parallel lines are intersected by a transversal, then alternate exterior angles are _________.

• Congruent

• Supplementary

Def of Supplementary Angles

• Def of Supplementary Angles

• Def of Linear Pair

• Linear Pair Postulate

• Congruent Supplements Thm

Lines L and M are parallel. Find x.

TYPE THE NUMBER ONLY.

If line a is parallel to line b, then which statement is best matches the angles?

• 8x - 17 + 5x +19 = 180 because "if ll lines, then consecutive interior angles are supplementary".

• 8x - 17 = 5x + 19 because "if ll lines, then alternate interior angles are equal".

• 8x - 17 = 5x +19 because "if ll lines, then corresponding angles are equal".

If m∠6 = 50^o then m∠4 =

• 50^o

• 90^o

• 130^o

• 360^o

• 76

• 104

• 14

• 152

If m∠n = 113^o, then m∠s =

• 180^o

• 90^o

• 67^o

• 113^o