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in this ΔAPO and ΔBPO
AP=BP(tangents from an external pt. is equal)
PO=PO(common to both)
angle A°= angle B°(as AP=BP so angle A=angle B)
so ΔAPO is congruent to ΔBPO
so angle APO=BPO(CPCTE)
but they are the same thing and their addition will give full angle P
so PO is the bisector of angle P
so ΔAPB is an equilatral triangle
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