$\mathrm{O}$ is the orthocentre of triangle $\mathrm{ABC}$, if $\angle \mathrm{BAC}=40°$ then $\angle \mathrm{BOC}=$

In the given figure, the measure of $\angle \mathrm{BAC}$ is:

The angles of a triangle are in the ratio of 1 : 2 : 3. What is the measure of the smallest angle (in degrees)?

$\mathrm{ABC}$ is an equilateral triangle of side $2\mathrm{a}$, then length of one of its altitude is $a\sqrt{x}$. The value of $\mathrm{a}$ is _____.

$\overline{XM}$ is a median in $△XYZ, X{Y}^2+X{Z}^2=328$ and $XM=8$ then $YZ=$ _____.