Question

Zubin drew a circle with right triangle PRQ inscribed in it as shown below.

Answer 1

If the measure of arc QR is 50°, what is the measure of angle PQR?

75°

50°

25°

65°

Answer 2

To find the solution you only need to know what the 50 degree is.
Can you draw one extra line to make that 50 degree appear?

Answer 3

extra line that pass through PQ

Answer 4

No.
It will be from the center of the circle to R

Answer 5

u mean like this

Answer 6

Let us call the center of the circle O.
Than the angle QOR will be 50!
The angle next it will be 180-50=130
And you can notice that PO=OR as both are the radius of the circle.

Answer 7

Try to finish it from here

Answer 8

how??

Answer 9

Make a drawing of your own on a piece of paper and label all the angles that you know.

Answer 10

like this

Answer 11

Yes that is the basic but you do not have the angles right. 50 is at the origin. the new angle that hasnt been there before

Answer 12

That we do not know, the angle is next the center of the circle

Answer 13

huh

Answer 14

what do u mean??

Answer 15

Luka sorry but I have to go

Answer 16

ok

Answer 17

1st: find the measure of arc PR....

Answer 18

one question how ??

Answer 19

Since the semicircle is 180, PR must be 130... right?

Answer 20

yes

Answer 21

And, remember: an inscribed angle is 1/2 the arc.. right? therefore, the angle should be 65

PQR = 65

Answer 22

So, the answer should be: 65.... Since 65 is 1/2 of 130...

Answer 23

ah thx a lot

Answer 24

No problem!