In the diagram, \(\bar{YW}\) is a tangent to the circle at X, |UV| = |VX|...
MATHEMATICS
WAEC 2016
In the diagram, \(\bar{YW}\) is a tangent to the circle at X, |UV| = |VX| and < VXW = 50°. Find the value of < UXY.
- A. 70o
- B. 80o
- C. 105o
- D. 110o
Correct Answer: B. 80o
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
= 80°
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