Question

Find each indicated measure

Answer 1

Use this for m<A.

Answer 2

so a=40

Answer 3

Use that also for m(arc)CE and m<C.

Answer 4

Correct.

Answer 5

d=40
c=40
also im just confused on how to get m(arc)CE

Answer 6

Correct on D and C

Answer 7

Just like you are using an arc to tell the measure of an angle, for angles A, C, and D, with part b. you go the reverse way. Use the angle to tell the measure of the arc.

Answer 8

For example, if the angle is 30 deg, then the arc is 2 times that, or 60 deg.

Answer 9

Now look at arc CE and find the measure of the angle that corresponds to it.
Then double that measure to find the measure of the arc.

Answer 10

the measure of the angle that corresponds to arc CE is 25 degrees

Answer 11

so would i do 25 degrees *2 do get arc CE

Answer 12

Exactly.

Answer 13

Now the only one left is the last one.
In part e. you need the measure of angle ABE.

Answer 14

ok so now how do i find <ABE?

Answer 15

80+50/2

Answer 16

The arc that corresponds to angle ABE is arc AE, right?

Answer 17

Oh, you got it already.

Answer 18

like that?

Answer 19

You add the measures of arc AC and CE to find the measure of arc AE. Then divide by 2.

Answer 20

(80 + 50)/2 gives you the m<ABE.

Answer 21

thanks for helping me with that @mathstudent55

Answer 22

You're welcome.