In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40o and YTW = 30o. What is YXW?
Attached Figure / Diagram
A
50o
B
75o
C
35o
D
115o
E
30o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
< WYT = \(\frac{180 - 30}{2}\)
= \(\frac{150}{2}\)
= 75o(base angles of isosceles D)
YXW = 75 - 40 = 35o(Exterior angle is equal to sum of interior angles)
Source: Myschool Past Questions Archive (Record #32753)