MathNet 2017-part-01 — 176 problems (EN–VI) Question 2

Find the angles of a convex quadrilateral $ABCD$ such that $\hat{ABD} = 29^\circ$, $\hat{ADB} = 41^\circ$, $\hat{ACB} = 82^\circ$ and $\hat{ACD} = 58^\circ$.