In the above figure (not to scale ), `bar(GF)||bar(BD),bar(B)||bar(PQ)` and `bar(AC)||bar(PR)` If `/_ x =40^(@)` and `/_ y= 110^(@)`, then find `/_ QPR`.

In the given figure (not to scale), bar(AB)||bar(QP)||bar(SD)| and also bar(QR)| |bar(DP) . Find x

In the figure above (not to scale), bar(EF)||bar(GD), bar(AF)||bar(EG), bar(AD)||bar(BC) and /_ DCG =100^(@) . If /_CDG=40^(@) , then find /_AEF .

In the above figure, bar(AF) || bar(ED),bar(CG) ||bar(AB) and bar(AE) ||bar(HD) If /_ FPD =40^(@) , then /_ AED =

In the above figure (not to scale) bar(AB),bar(BC),bar(CF),bar(DE) and bar(FE) are chords of the circle. If /_ ABC =100^(@) and /_ FED =110^(@) , then /_FPA =

In the figure above ( not to scale), bar(PF) ||bar(BE) and bar(AB)||bar(CD) . If /_FDC=130^(@) and /_ACD=20^(@) , find /_ACB and /_ ABC

In the figure below (not to scale), bar(MR )_|_ bar(MP), bar(MQ) _|_ bar(MN) , and bar(MS) is bisector of /_ RMQ . If /_ PMN=50^(@) , then find the measure of /_ RMS .

In the figure above, bar(BC)|| bar(PQ),bar(BP) and bar(CQ) intersect at O. If x+y=80^(@) and z-y=55^(@) , then find x and y.

In the given figure, PQRS is an isosceles trapezium and bar(PQ)||bar(SR)||bar(MN) If /_ SPM=70^(@) and /_ PQR =110^(@) , then find /_ PMN.

If |bar(a)+bar(b)|<|bar(a)-bar(b)| then (bar(a),bar(b)) is