Question

Find < SPT in degrees

Answer 1

If angle QR is 180° and arc QR is 10z, set them equal to find the value of z

180 = 10z; divide both sides by 10

18 = z

Then use this value in 6z to find the arc SPT

6(18) = SPT

108 = SPT

Since this is a central angle, the arc length and angle measurement are the same. Therefore angle SPT = 108°

(Also, hey XD)

Answer 2

Answer: 108deg

From picture:

10z=pi and m<SPT =6z So we know 20z=2pi or 360deg

Let’s solve:

20z=2pi

z=pi/10

m<SPT=6z=6pi/10=3pi/5 now lets take the angle from radians to degrees by unit conversion:

3pi/5*(180deg/pi)=108deg