The two adjacent angles of a quadrilateral are $80°$ and $120°$. The other two angles are equal. Find them.

Find $x$ and $y$ in the given figure.

$\mathrm{TALK}$ is a parallelogram. Diagonals $\mathrm{AK}$ and $\mathrm{TL}$ meet at $\mathrm{O}$. $\mathrm{BX}$ is a line segement through $\mathrm{O}$. Give reasons for the following:

$\mathrm{OA}=\mathrm{OK}$

$\mathrm{TALK}$ is a parallelogram. Diagonals $\mathrm{AK}$ and $\mathrm{TL}$ meet at $\mathrm{O}$. $\mathrm{BX}$ is a line segement through $\mathrm{O}$. Give reasons for the following:

$\angle \mathrm{OAX}=\angle \mathrm{OKB}$