Answer:
16. 142 deg
17. 23 deg
18. 134 deg
19. 38 deg
Step-by-step explanation:
16.
m(arc)QT = 2m<QST = 2 * 71 = 142
17.
m<STR = (1/2)m(arc)RS = (1/2)46 = 23
18.
RT is a diameter since it includes the center of the circle, point X.
m(arc)RST = 180
m(arc)RS + m(arc)ST = m(arc)RST
46 + m(arc)ST = 180
m(arc)ST = 134
19.
RT is a diameter since it includes the center of the circle, point X.
m(arc)RQT = 180
m(arc)RQ + m(arc)QT = m(arc)RQT
m(arc)RQ + 142 = 180
m(arc)RQ = 38
