Question

Alex drew a circle with right triangle PRQ inscribed in it, as shown below:
If the measure of arc QR is 80°, what is the measure of angle PQR?

50°
40°
80°
70°

Answer 1

@snowflake0531

Answer 2

Do you remember a screenshot of the stuff AZ posted yesterday, the outer arc thing, in this case QR, is double the angle of RPQ
So what is RPQ?

Answer 3

I dont remember it by memory.. Imma try to go back

Answer 4

It's just that the little angle is half of the outer angle thingy

Answer 5

And which angles would that be?

Answer 6

RPQ is half of QR

Answer 7

Do you mean QR is half of RPQ..?

Answer 8

no?

Answer 9

I mean, if RPQ was 160 degrees it owuld be obtuse e.e

Answer 10

But RPQ is larger than QR so- it what

Answer 11

*confusion*

Answer 12

How is QR smaller e.e

Answer 13

Oh schiist I see what you mean now

Answer 14

lol, so what is the degree measure of RPQ

Answer 15

Well R's 90 thats obvious.. is that what you're asking?

Answer 16

But what's P lol

Answer 17

Oh

Answer 18

It's halfof hte arc, so half of 40

Answer 19

Ok dont triangles have to make 180?

Answer 20

Yes that is why, to find PQR< we first need to find P, so we can add P with 90, and subtract it from 180

Answer 21

But what about the 80?

Answer 22

You need the 80 to find P....
Since P is half of hte arc

Answer 23

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531
You need the 80 to find P....
Since P is half of hte arc
\(\color{#0cbb34}{\text{End of Quote}}\)
and the arc is 80

Answer 24

Yeah so 40

Answer 25

Ye so 40+90+x=180

Answer 26

But couldnt you 80+90= bla and bla - 180?

Answer 27

No, because 80 isn't part of hte triangle.... it's an outer arc

Answer 28

Oh scchist ok I see

Answer 29

Thanks!

Answer 30

lol so what is the angle lol

Answer 31

oh, yw~ xd

Answer 32

Uh 40?

Answer 33

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531
Ye so 40+90+x=180
\(\color{#0cbb34}{\text{End of Quote}}\)
._.

Answer 34

Ywah...

Answer 35

._.

Answer 36

find x e.e

Answer 37

Wait the hecks X

Answer 38

40+90+x=180
130+x=180
what's x

Answer 39

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Seafoam
Wait the hecks X
\(\color{#0cbb34}{\text{End of Quote}}\)
x is the angle that you're trying to find, it's just easier to write x than PQR

Answer 40

Wait where did 130 come from??

Answer 41

Oh wait

Answer 42

*head slap*

Answer 43

40+90
3 angles add up to 180
one of htem is a right angle, the other is 40, because it's half of hte arc

Answer 44

I figured it out after a second 😅😅

Answer 45

lol, so you got the answer?

Answer 46

So did I?

Answer 47

no it's not 40 e.e
130+x = 180
Redo subtraction lol

Answer 48

50

Answer 49

ye xddd

Answer 50

I an now deceased

Answer 51

LOL