Q88 of 113 Page 128

A road crosses a railway line at an angle of 30° as shown in Fig.5.45. Find the values of a, b and c.


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Let ∠ x = 300


⇒ ∠ y = ∠ x = 300 (Corresponding angle)


∠ c = 1800-300 = 1500( Forms a linear pair with ∠ y)


∠ 1 = ∠ y = 300 (Vertically Opposite)


∠ a = ∠ 1 = 300 (Corresponding angle)


∠ 2 = 1800-300 = 1500( Forms a linear pair with ∠ a)


∠ b = ∠ 2 = 1500 (Alternate interior angle)


∠ a = 300, ∠ b = 1500, ∠ c = 1500


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