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4. In Fig. 6.17, if x +y w+, then prove that POQ is a line.Fig. 6.175.In Fig. 6.18, POQ is a line. Ray OR is perpendicular to line PQ.OS is another ray lying between rays OP and OR. Prove thatFig. 6.18It is given that LXYZ = 64° and XY is produced to point P. Drawa figure from the given information. If ray YQ bisects ZZYP, findZXYQ and reflex ZQYPIf OP bisects LB0C and 0Q <AOC, show that LP0Q-90°. In thegiven Fig. 6.197.Fig. 6.19

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Given : x + y = w + zTo prove : POQ is a line.Proof : We know that;x + y + w + z = 360०then, x + y + x + y = 360०(given)2x + 2y =360०2 (x + y) =360०x + y = 180०(linear pair)Therefore, POQ is a line. Hence, Proved!

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