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Question
Find the slope of the line which makes angle of 45° with the positive direction of the Y-axis measured clockwise.
Solution
∠DAO = ∠BAC ...[Vertically opposite angels]
∠BAC = 45°
∠ACB = 90°
∠ABC = θ
In △ABC,
∠ABC + ∠ACB + ∠BAC = 180° ...[Property of a △]
θ + 90° + 45° = 180°
θ + 135° = 180°
θ = 180° - 135°
θ = 45°
Slope of the line = tanθ
= tan 45°
= 1
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