Applying and Using Angles Created When Parallel Lines Are Cut by a Transversal

In the figure below, lines a and b are parallel. Find the value of x

• a

• b

• c

• d

Which of the following statement and reason can be used in the step number 5

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".

Alternate Exterior Angles are ​ (a)   . Consecutive Exterior Angles are ​ (b)   .

Alternate Interior Angles are ​ (c)   . Consectuive Interior Angles are ​ (d)   .

• congruent

• supplementary

Which statements are true? Select all that apply.

• Vertically Opposite Angles are congruent

• Corresponding Angles are Supplementary

• Co-Interior Angles are Supplementary

• Alternate Angles are Congruent

• Linear Pair of Angles are Supplementary

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