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Question

Question 90

Iron rods a, b, c, d, e and f are making a design in a bridge as shown in the given figure, in which a || b, c|| d and e || f. Find the marked angles between
(i) b and c
(ii) d and e
(iii) d and f
(iv) c and f

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Solution


Since l, m are two parallel lines and PQ, RS and TU are transversal.
Then, 4=QPS [alternate interior angles]4=75 [ QPS=75]
Again, 1=QOR [vertically opposite angles]1=30 [ QOR=30]
Also, PQ and TU are parallel and m and l are transversal.
Therefore, 2+QPT=180 [consecutive interior angles]2=18075 [ QPT=75, given]2=105
Also, 2+3=180105+3=1803=1801053=75
Hence (i) 30 (ii) 105
(iii) 75 (iv) 75


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