Question

@Shadow

Answer 1

How many degrees is a whole circle?

Answer 2

Angle RSQ+ROQ=360, because all circles, no matter what size, is always 360 degrees.
What do you think you should do to get the ROQ angle?

Answer 3

let me see, hold on

Answer 4

subtract 290 from 360

Answer 5

Yes, that is right.
What do you get?
That number will be the angle number.

Answer 6

70, thank you

Answer 7

Arc RQ is 70 degrees. But what is measure of the ‘inscribed’ angle?

Answer 8

osht

Answer 9

inscribed angle would be what exactly?

Answer 10

Do you know the formula

Answer 11

not off the top of my head, no

Answer 12

The measure of the inscribed angle is one half of the measure of the arc

Answer 13

so 35?

Answer 14

Correct

Answer 15

so would I add 35 and 70??

Answer 16

or is it 35..??

Answer 17

Well, what are we looking for?

Answer 18

the measure of <ROQ

Answer 19

Which is the inscribed angle of what arc ?

Answer 20

RQ?

Answer 21

So if we solve for the inscribed angle of RQ, by multiplying it by 1/2...

Answer 22

im kind of confused actually on this part

Answer 23

So Sarah helped you solve for arc RQ. You do that by subtracting 290 from 360. This gives you arc RQ. However, they want the inscribed angle of RQ, which is angle ROQ. We obtain it by dividing the value of arc RQ by 2 ( or multiplying it by 1/2, same thing).

Answer 24

okay so half of 35 would be 17.5

Answer 25

Measure of Arc RQ is 70

Answer 26

yes and ROQ is 35 right?

Answer 27

360 - 290 = arc RQ

Answer 28

Yes

Answer 29

okay, so is 35 the answer then?

Answer 30

It’s the angle of ROQ

Answer 31

yea

Answer 32

what else needs to be done cause idk

Answer 33

Nothing

Answer 34

so 35 would be the answer?

Answer 35

You did it correctly. Until you started dividing by 2 again (:

Answer 36

oh XD okay

Answer 37

geez, im just all over the place when it comes to numbers lol

Answer 38

so that ones done XD, next one?

Answer 39

Sure

Answer 40

thanks :)

Answer 41

Correction:

Since I answered this whilst on three hours of sleep

Angle ROQ is not an inscribed angle, but a central angle.

Arc RSQ makes up the majority of the circle, leaving just arc RQ.

So we can obtain the value of Arc RQ by subtracting Arc RSQ from 360

360 - 290 = 70

A central angle is the same measure of the arc that it intercepts, so angle ROQ is 70 degrees, since the arc it intercepts is RQ and has a value of 70.