Question

NO LINKS!! Use the diagram to name each of the following pairs of angles. If the name doesn't exist say "none" Part 1

a. <10 and < 15
b. <2 and <5
c. <1 and <12
d. <4 and 13
e. <9 and <11

Answer 1

a) Alternate interior angles

b) Same-side interior angles

c) Alternate exterior angles

d) None

e) Supplementary

Explanation:

Part a

• ∠10 and ∠15 are alternate interior angles.

Alternate interior angles

When two lines are intersected by a transversal, the angles that are interior to the two lines and are on opposite sides of the transversal line are called "alternate interior angles".

Part b

• ∠2 and ∠5 are same-side interior angles.

Same-side interior angles

When two lines are intersected by a transversal, the angles that are interior to the two lines and on the same side of the transversal line are called "same-side interior angles".

Part c

• ∠1 and ∠12 and alternate exterior angles.

Alternate exterior angles

When two lines are intersected by a transversal, the angles that are exterior to the two lines and are on opposite sides of the transversal line are called "alternate exterior angles".

Part d

• ∠4 and ∠13 - None

Part e

• ∠9 and ∠11 are supplementary angles.

Supplementary angles are two angles whose measures sum to 180°.

They do not need to be adjacent to be supplementary.

As ∠9 and ∠11 form a linear pair, they are supplementary angles.