In the diagram, \(P\hat{Q}S = 65^o, R\hat{P}S = 40^o\hspa...
In the diagram, PˆQS=65o,RˆPS=40oandQˆSR=20o,findPˆSQ
A.
85o
B.
60o
C.
55o
D.
45o
Correct answer is C
< QPS = < PRS = 65° (angles in the same segment)
< PSR + 40° + 65° = 180°
< PSR + 105° = 180°
< PSR = 75°
< PSR = < PSQ + < QSR
75° = < PSQ + 20° ⟹ < PSQ = 75° - 20° = 55°