1.

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`.A. `70^(@)`B. `80^(@)`C. `60^(@)`D. None of these

Answer» Correct Answer - a
(i) Sum of the angles of a triangle is `180^(@)`. Extend QP to meet AE. Corresponding angles are equal.
(ii) Produce the lines PQ and PR to intersect the line BC at M and N respectively.
(iii) Find `/_PMN` and `/_ PNM` by using the given conditions.
(iv) `/_ QPR =180^(@)- ( /_ PMN + /_ PNM )`.


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