6. Point $M$ is the midpoint of side $A D$ of parallelogram $A B C D$. Line $C M$ is inclined to the base $A D$ at an angle of $15^{0}$. Vertex $B$ is equidistant from line $C M$ and vertex $A$. Find the angles of the parallelogram. Find the area of the parallelogram if the length of the base $A D$ is 6.
Answer: 1) $45^{\circ}, 135^{\circ} ; 2) S_{\text {ABCD }}=9(\sqrt{3}-1)$.