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In the diagram, lines r and s are parallel to each other and perpendicular to transversal line t. Line w is a transversal to lines r and s. Use properties of special angles, formed by parallel lines, perpendicular lines and their transversals, to describe the relationship between the angles. Choose all of the situations that correctly describe the relationship between the angles. Note: Figure is not drawn to scale.



s || r ; s ⊥ t ; r ⊥ t

line w is a transversal

m∠7=72°

10 and 14

(MULTIPLE CHOICE)
supplementary angles
The angles do not share a special relationship.
vertical angles
right angles
equal angles
alternate exterior angles
same side interior angles
alternate interior angles
corresponding angles

In the diagram lines r and s are parallel to each other and perpendicular to transversal line t Line w is a transversal to lines r and s Use properties of speci class=

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Answer:

Part 1)

Part 2)

Part 3)

Part 4)

Part 5)

Part 6)

Part 7)

Part 8)

Part 9)

Part 10)

Step-by-step explanation:

Part 1) Find the measure of angle 7

we know that

----> by corresponding angles

we have

----> given

therefore

Part 2) Find the measure of angle 4

we know that

----> by supplementary angles (form a linear pair)

we have

substitute

Part 3) Find the measure of angle 6

we know that

----> by alternate exterior angles

we have

therefore

Part 4) Find the measure of angle 1

we know that

----> by vertical angles

we have

therefore

Part 5) Find the measure of angle 16

we know that

----> by supplementary angles (form a linear pair)

we have

---> given

substitute

Part 6) Find the measure of angle 18

we know that

----> by alternate interior angles

we have

therefore

Part 7) Find the measure of angle 21

we know that

----> by alternate exterior angles

we have

therefore

Part 8) Find the measure of angle 10

step 1

Find the measure of angle 14

we know that

----> by supplementary angles (form a linear pair)

we have

substitute

step 2

we know that

---> sum of interior angles of a triangle

we have

substitute

step 3

Find the measure of angle 10

we know that

----> by vertical angles

we have

therefore

Part 9) Find the measure of angle 11

we know that

----> by supplementary angles (form a linear pair)

we have

substitute

Part 10) Find the measure of angle 12

see Part 8)

Step-by-step explanation:

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