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In the above figure (not to scale ), bar...


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

Text Solution

Verified by Experts

The correct Answer is:
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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