Question

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Answer 1

Which inscribed angle cuts off arc ST?

Answer 2

TQS?

Answer 3

Look at this diagram (attached).

Answer 4

Angle Q cuts off arc ST.

Angle Q is an inscribed angle.

So what is the measure of arc ST?

Answer 5

@stupidinmath The inscribed angle is half its arc. So, the arc is twice the angle measure.

Answer 6

I'm kinda confused on which to choose :|

Answer 7

36..?

Answer 8

Yes, 36 for arc ST.

Answer 9

yesss c:

Answer 10

for #6, is <TRS also 18?

Answer 11

Look at angle P.

It is an angle formed by two secant segment from a point outside the circle.

See the attachment for its formula.

Answer 12

m<P = 1/2* ( m arc QR - m arc ST)

24 = 1/2 * (m arc QR - 36)

48 = m arc QR - 36

48 + 36 = m arc QR

M arc QR = ?

Answer 13

48

Answer 14

is my #2 wrong?

Answer 15

Yes, it is not correct. Try again.

48 + 36 = m arc QR

Answer 16

84.. I see

Answer 17

Look at #4.

Answer 18

RT is a diameter.

So, arc RQT is a semi-circle.

Agree?

Answer 19

yes

Answer 20

What is the measure of a semi-circle.

Answer 21

180

Answer 22

So, arc QR is 84 of that 180.

So, what is the other part that would be the measure of arc QT?

Answer 23

36? :)

Answer 24

I mea... 96

Answer 25

I got 96. 180 - 84 = 96

Answer 26

typo

Answer 27

So, here is what we have so far.

Answer 28

yep..

Answer 29

Let's do #5 <PSQ.

Answer 30

is my #5 correct

Answer 31

Did you get 180 - 24 - 18 = 138

Answer 32

yes :)
triangle sum t.

Answer 33

#6 <TRS is an inscribed angle and has measure half of arc TS

Answer 34

18. yayy :)

Answer 35

Now, we have to go back to # 3. < SUR

Answer 36

oh, alright

Answer 37

It is an angle formed by two chords intersecting inside the circle. I'll attach the theorem for it.

Answer 38

84+36 = 120

Answer 39

1/2 * (84 + 36) = m< RUQ which is what?

Answer 40

120 is not correct.

Answer 41

<RUQ = 60

Answer 42

Okay. And, the angle we want, < SUR is the supplement of <RUQ with measure 60, so 180 - 60 = ?

Answer 43

it is 120 :|

Answer 44

Yes. I'm post the summary.

Answer 45

oh, got it, thanks (:

Answer 46

Alrighty.