Home » In the figure, the chords XY and ZW are produced to meet at T such…

In the figure, the chords XY and ZW are produced to meet at T such…

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)