In the diagram, QP//ST:PQR = 34o qrs = 73o and Rs = RT. Find SRT
-
A.
68o -
B.
102o -
C.
107o -
D.
141o
Correct Answer: Option B
Explanation
Construction joins R to P such that SRP = straight line
R = 180o – 107o
< p = 180o – (107o – 34o)
108 – 141o = 39o
Angle < S = 39o (corr. Ang.) But in (bigtriangleup)SRT
< S = < T = 39o
SRT = 180 – (39o + 39o)
= 180o – 78o
= 102o