Math, asked by hdtus, 8 months ago

Please solve it , I asked this question second time , please solve​

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Answered by anandkumar4549
1

Construction: Join PX, PY, PZ and PW

We have m(arc XAZ ) = m(arc YBW)__(I)

         

We know that the angle subtended by the arc at the centre is twice the angle subtended at any part of the circle.

→ 2∠XYZ = m(arc XAZ )

→ 2∠YZW = m(arc YBW)

From equation (1), we have:

→ ∠XYZ = ∠YZW

As ∠XYZ and ∠YZW are alternate angles and they are equal,

XY∥ZW.

Hence proved.

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