Find correct to the nearest degree, the acute angle forme...
Find correct to the nearest degree, the acute angle formed by the lines y = 2x + 5 and 2y = x - 6
76∘
53∘
37∘
14∘
Correct answer is C
| tanθ | = | m1 - m2
1 + m1m2 |
y = 2x + 5
m1 = 2
2y = x - 6
| y | = | 1
2 |
x | - | 3 |
| m2 | = | 1
2 |
| tanθ | = | 2 - 12
1+2(12) |
tanθ = 32 ÷ (1+1)
tanθ = 32 ÷ 2
| tanθ | = | 3
4 |
θ = tan−1(34)
θ = 36.87º
θ = 37º
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