Special Angle Pairs with Parallel Lines

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

Identify the pair of vertical angles: ∠1 & ∠2, ∠2 & ∠4, ∠5 & ∠8, ∠1 & ∠5.

Back

∠5 & ∠8 are vertical angles.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If one angle in a pair of supplementary angles measures 75°, what is the measure of the other angle?

Back

105°

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal. They are equal in measure.

Front

Identify the pair of corresponding angles: ∠1 & ∠2, ∠2 & ∠4, ∠5 & ∠8, ∠1 & ∠5.

Back

∠1 & ∠5 are corresponding angles.

Front

What is the relationship between alternate interior angles when two parallel lines are cut by a transversal?

Back

Alternate interior angles are equal.

Front

Identify the pair of corresponding angles: ∠8 and ∠6, ∠2 and ∠6, ∠2 and ∠3, ∠8 and ∠5.

Back

∠8 and ∠6 are corresponding angles.

Front

What is the measure of angle A if it is supplementary to 82°?

Back

∠A = 98°.

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that lie outside the two parallel lines and on opposite sides of the transversal. They are equal.