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Step-by-step explanation:
general eqn of 2nd degree is
ax2 + by + 2hxy+2gx + 2fy + c = 0
comparing given eqn with general
we get a = 2, b = -6 , h = 1/2 , g =0, f =7/2 , c = -2
angle between two lines is tan theta = 2*sqrt(h^2 -ab)/(a+b) = 2*sqrt(1/4 + 12)/ (2 - 6) = 2 * sqrt(49/4)/(-4) = 2*(7/2)/(-4) = -7/4
theta = tan inverse (-7/4)
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