Ab ll cd and ef ll gh use the figure above to find the value of each angle

Part 1) ∠n=63°

Part 2) ∠m=117°

Part 3) ∠k=117°

Part 4) ∠x=117°

Part 5) ∠w=117°

Step-by-step explanation:

Part 1

Find the measure of angle n

we know that

∠n=63° > by alternate exterior angles

Part 2

Find the measure of angle m

we know that

∠n+∠m=180° > by supplementary angles

we have

∠n=63°

substitute

63°+∠m=180°

∠m=180°-63°=117°

Part 3

Find the measure of angle k

we know that

∠k=∠m > by vertical angles

we have

∠m=117°

therefore

∠k=117°

Part 4

Find the measure of angle x

we know that

∠x=∠k > by corresponding angles

we have

∠k=117°

therefore

∠x=117°

Part 5

Find the measure of angle w

we know that

∠w=∠x > by alternate interior angles

we have

∠x=117°

therefore

∠w=117°

Step-by-step explanation:

Givens

AB || CD

EF || GH

These parallels gives us certain pair of angles which are congruent.

The given angle 63° is congruent with its corresponding angles. The image attached shows all corresponding angles that are equal to 63° (red angles).

Basically,

and , by suplementary angles and straight angle definition.

Then, solving for and , we have

Therefore, both angles are equal to 117°.

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: