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WAEC Further Mathematics 2022 Question 29

Question 29

Coordinate Geometry

Find, correct to the nearest degree, the acute angle formed by the lines y = 2x + 5 and 2y = x − 6.

  1. A.76°
  2. B.53°
  3. C.37°
  4. D.14°
Show the answer and explanation

Answer: C (37°)

Explanation

Gradients 2 and ½. tan θ = (2 − ½)/(1 + 2 × ½) = 0.75, so θ ≈ 37°.