WAEC Further Mathematics 2022 Objective — Question 29
Question 29 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.
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Find, correct to the nearest degree, the acute angle formed by the lines y=2x+5 and 2y=x−6.
- A. 76°
- B. 53°
- C. 37°Correct
- D. 14°
Explanation
Gradients: m₁=2 and m₂=½. θ=tan⁻¹[(m₁−m₂)/(1+m₁m₂)] = tan⁻¹[(1.5)/(2)] = tan⁻¹(0.75) ≈ 37°.
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