3. Let PR I RV, KV I RV, PR = KV, S and T are
two points on RV such that RS : SV = 1 : 2 and
VT : TR = 1 : 2. If PT and KS intersect at X such
that RX = VX, then prove that
(a) APRX = AKVX and
(b) SX = TX = RS = ST = TV
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