In the diagram, (bar{YW}) is a tangent to the circle at X, |UV| = |VX| and < VXW = 50o. Find the value of < UXY.
-
A.
70o -
B.
80o -
C.
105o -
D.
110o
Correct Answer: Option B
Explanation
In the diagram above, x1 = 50(angles in alternate segment)
x1 = x2(base angles of isos. (Delta))
< UXY + x2 + 50o = 180o(sum of angles on a straight line)
< UXY + 50o + 50o = 180p
< UXY + 100o = 180o
< UXY = 180o – 100o
= 80o