Math, asked by Anonymous, 9 months ago

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Answered by Diksha12341
4

Step-by-step explanation:

Given :-

Angle X of XYZ cuts YZ at W . The circle whose centre is W and radius XY cuts and XY at P and Q respectively .

To prove :-

XP = XQ

Construction :-

Draw WT perpendicular XP and WB perpendicular XT .

Solution :-

WXA = WXB [ By AAS congruence ]

XA = XB [ CPCT ]

2XA = 2XB

XP = XQ

[ Perpendicular from the centre of a circle to the chord bisect it . ]

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