Parallel Lines Cut by a Transversal

Find the missing angle measure and state the name of the pair of angles.

• 124 degrees; Corresponding angles

• 56 degrees; Corresponding angles

• 124 degrees; Same-side interior angles

• 56 degrees; Same-side interior angles

Find the missing angle measure and name the pair of angles.

• 79 degrees; Vertical Angles

• 101 degrees; Linear Pair

• 79 degrees; Corresponding Angles

• 101 degrees; Alternate Interior Angles

Find the missing angle measure and name the pair of angles.

• 52 degrees; Same-side interior angles

• 128 degrees; Corresponding Angles

• 52 degrees; Vertical Angles

• 128; Corresponding Angles

Solve for x.

• A

• B

• C

• D

Which of the following geometric statements justifies ∠RVM and ∠HMV are Congruent?

• If two parallel lines are intersected by a transversal, then consecutive exterior angles are complementary.

• If two parallel lines are intersected by a transversal, then alternate interior angles are congruent.

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

• If two parallel lines are intersected by a transversal, then corresponding angles are complementary.

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".

Def of Supplementary Angles

• Def of Supplementary Angles

• Def of Linear Pair

• Linear Pair Postulate

• Congruent Supplements Thm

If m∠6 = 50^o then m∠4 =

• 50^o

• 90^o

• 130^o

• 360^o

If it is given that the indicated lines are parallel and that segment SF bisects ∠TSE, select ALL correct statements that could be used.

• ∠1 ≅ ∠5 by the corresponding angles postulate

• ∠2 ≅ ∠4 by the alternate interior angles theorem

• ∠1 ≅ ∠2 by the definition of an angle bisector

• ∠3 and ∠5 are supplementary by the consecutive interior angles theorem

Solve for x.

• A

• B

• C

• D