Question

Alex drew a circle with right triangle PRQ inscribed in it, as shown below:

The figure shows a circle with points P, Q, and R on it forming an inscribed triangle. Side PQ is a chord through the center and angle R is a right angle. Arc QR measures 80 degrees.

If the measure of arc QR is 80°, what is the measure of angle PQR?

50°
40°
80°
70°

Answer 1

are you there?

Answer 2

yeah

Answer 3

see if Qr=80 then, QPR=80/2

Answer 4

angle subtending arc= arc/2 (formula)

Answer 5

oh alright

Answer 6

so PQR=40

Answer 7

now,
using angles of triangles.
total angles (when added) =180

what we have here is 90+40+x=180

Answer 8

no its not 40

Answer 9

90+40(which we took out+x(which we have to find)=180
now solve for x, what do you get?

Answer 10

50

Answer 11

Good! Thatz your answer

Answer 12

ok thank you :)

Answer 13

No problem,

Answer 14

can you help me with one more?

Answer 15

Which of the following is a step in constructing a circle inscribed in a triangle?

Use a compass to locate the intersection of the midpoint of each side.
Use the perpendicular bisectors to find the center of the circle.
Use a compass to locate the intersection of the altitude of each side.
Use the angle bisectors to find the center of the circle.

Answer 16

I will try

Answer 17

hmmm.....

Answer 18

is it the second one?

Answer 19

nopes. I dont think that.
I think its D, but I am not sure.

Answer 20

ok, i'll just google it to be sure lol

Answer 21

okay....

Answer 22

If you liked my response, dont forget to medal @ItzYaBoiGio

Answer 23

alright