In a railway diagram, two parallel rails are crossed by a sleeper (cross beam) acting as a transversal. The acute angle and obtuse angle the sleeper makes with a rail are in the ratio 2 : 7. Find the obtuse angle (deg).

Question

Accepted Answer

140. Acute + obtuse = 180 (linear pair). Ratio 2:7 gives 2k + 7k = 180, 9k = 180, k = 20. Obtuse = 7 x 20 = 140°.

In a railway diagram, two parallel rails are crossed by a sleeper (cross beam) acting as a transversal. The acute angle and obtuse angle the sleeper makes with a rail are in the ratio 2 : 7.
Find the obtuse angle (deg).

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