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?
-
A.
50o -
B.
75o -
C.
35o -
D.
115o -
E.
30o
Correct Answer: Option C
Explanation
< 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)