To find angle between 2 curves, find the angle between the tangent drawn in those two curves at the point of their intersection.
Follow these steps:
1. Solve equation 1 and 2 and calculate their point of intersection.
2. Differentiate eq1 and eq2 wrt y
3. Find the slopes (m1 and m2) by substituting intersect point from step 1 to the slope equation from step 2
4. Find the Angle by substituting slope values in Formula tan(θ) = (m1-m2)/(1+(m1.m2)) ∀ m1>m2