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Question
In the given figure, the directed lines are parallel to each other. Find the unknown angles.
Solution
∵ Lines are parallel
∴ y = 75° ........(alternate angles)
∠1 + 112° = 180° .............(linear pair)
∠1 = 180°− 112° = 68°
∠1 = x ..........(corresponding angles)
∴ x = 68°
But x + 75 + z = 180° ......(angles on a line)
⇒ 68° + 75° + z = 180°
⇒ z = 143° = 180°
⇒ z = 180°− 143° = 37°
Hence x = 68°, y = 75°, z = 37°
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