In the figure PQR a straight line segment, PQ = QT. Triangle PQT is an isosceles triangle, < SRQ is 75º and < QPT IS 25º. Calculate the value of < RST
Attached Figure / Diagram
A
50o
B
25o
C
55o
D
45o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
< T = \(\frac{x}{1}\) = 25o (PQ = QT)
< SQR = 2(25o) = 50o (sum of interior angle)
< Q + < R + < S = 180o
50o + 75o + < S = 180o = 125o + < S = 180o
< S = 180o - 125o = 55o
Source: Myschool Past Questions Archive (Record #33096)