5. A convex quadrilateral $A B C D$ is inscribed in a circle. Its diagonal $B D$ is the bisector of the angle at vertex $B$, forms an acute angle of $75^{\circ}$ with the other diagonal and an angle of $70^{\circ}$ with side $A D$. Find the angles of the quadrilateral.
Answer: $75^{\circ}, 70^{0}, 105^{0}, 110^{0}$ or $105^{\circ}, 10^{0}, 75^{\circ}, 170^{0}$.

## Variant 4