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\(^∘\)
  • D 14\(^∘\)
waec 2022furthermathematics

The correct answer is C. 37\(^∘\)

tanθ = m1 - m2 1 + m1m2
y = 2x + 5 m1 = 2 2y = x - 6
y = 1 2 x - 3
m2 = 1 2
tanθ = 2 - \(\frac{1}{2}\) 1+2(\(\frac{1}{2}\))
tanθ =  \(\frac{3}{2}\) Ã· (1+1) tanθ = \(\frac{3}{2}\) Ã· 2
tanθ = 3 4
θ = \(tan^{-1} (\frac{3}{4})\) θ = 36.87º θ = 37º Previous question Next question