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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

## 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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