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In the figure below, `m||l||n` and `bar(PT)||bar(QR)`. If `/_ TUV =x,/_QRS =gamma` and `/_ QVW =z`, then which of the following is necessarily true ?

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In the figure below, `m||l||n` and `bar(PT)||bar(QR)`. If `/_ TUV =x,/_QRS =gamma` and `/_ QVW =z`, then which of the following is necessarily true ?
image
A. `xgt gamma =z`
B. `x lt gamma =z`
C. `x= gamma =z`
D. Cannot be determined
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Correct Answer - c
(i) Extend RQ to cut UV on line m .
(ii) Extends TP to meed 1 at a point say G.
(iii) `/_ TGV =x, /_ TGV = /_ QVW ` and `z = /_ VRS` ( as they are correspongind angles )
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