Answer:
QR=8
QU=76
Measure of arc ST=114°
Measure of arc QR=114°
Measure of arc XT=57°
Step-by-step explanation:
Given that,
YU=YV
ST=16
mQS=34
mRT=98
We will use pythagoras theorem,
QR=8
QU=76
QR=ST
Since they span the same arc, let the arc be x.
360 - QS - RT = QR + ST
Recall that QR=ST
360 - 34 - 98 = x + x
228 = 2x
Divide both side by 2
X= 228/2
X=114°
Therefore, the measure of the arc ST and the arc QR=114°
Measure of span of arc XT will be:
= 1/2× (arc ST)
= 1/2 × 114
= 57°
