Find the following arc measures

Question

Scarlet23 · Answer

attachment

AZ · Answer

Since it's the central angle, the intercepted arc is going to be the same value

AZ · Answer

So what is the $ m \overset{\Huge\frown}{DE}$

|dw:1617936583682:dw|

Scarlet23 · Answer

104

AZ · Answer

Exactly! Good job!

Now what about $ m \overset{\Huge\frown}{FE}$

Remember the angles are in a straight line so they should add up to 180

Scarlet23 · Answer

180?

Scarlet23 · Answer

76?

AZ · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @Scarlet23
76?
$\color{#0cbb34}{\text{End of Quote}}$
yes

|dw:1617937004318:dw|

AZ · Answer

so now what would $ m \overset{\Huge\frown}{DEF}$ be?

|dw:1617937130080:dw|

Scarlet23 · Answer

180

AZ · Answer

Good!

And now $ m \overset{\Huge\frown}{CFD} = ?|dw:1617937341915:dw|$

Scarlet23 · Answer

284

AZ · Answer

Good!

And now $ m \overset{\Huge\frown}{DFE} = ?$

|dw:1617937557089:dw|

Scarlet23 · Answer

256

AZ · Answer

and that's all for question #1

did you understand?

the arc is going to be equal to the angle essentially

Scarlet23 · Answer

yes i understand

AZ · Answer

so can you do the same thing for #2

Scarlet23 · Answer

i believe so

Scarlet23 · Answer

thank you

AZ · Answer

No problem!
If you want me to check your answers, feel free to post it and I'd be more than happy to look over it!