2 answers:
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: 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
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