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In the diagram, \(\bar{YW}\) is a tangent to the circle at X, |UV| = |VX| and &l...


Question

In the diagram, \(\bar{YW}\) is a tangent to the circle at X, |UV| = |VX| and < VXW = 50o. Find the value of < VXY.

Options

A) 70o

B) 80o

C) 105o

D) 110o

The correct answer is 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


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Dicussion (1)

  • 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

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