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

Assessment: WAEC SSCE - Further Mathematics - 2022 Subject: Further Mathematics

Question 1 Report

76

^{\circ}

53

^{\circ}

37

^{\circ}

14

^{\circ}

Answer Details

tanθ

=

m1 - m21 + m1m2

y = 2x + 5
m1 = 2
2y = x - 6

y

=

12

x

-

3

m2

=

12

tanθ

=

2 -

\frac{1}{2}

1+2(

\frac{1}{2}

)

tanθ = $\frac{3}{2}$ ÷ (1+1)

tanθ = $\frac{3}{2}$ ÷ 2

tanθ

=

34

θ = $t a n^{- 1} (\frac{3}{4})$

θ = 36.87º
θ = 37º

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