Draw a line segment $\overline{\mathrm{RQ}}$, the length of which is equal to the length of the given line segment $\overline{\mathrm{PQ}}$. Join $\mathrm{PR}$ and complete $∆\mathrm{PQR}$.

Some angles of the following triangle are given. Find the measures of the remaining angles. Name these triangles based on the angles and sides:

Some angles of the following triangle are given. Find the measures of the remaining angles. Name these triangles based on the angles and sides:

Some angles of the following triangle are given. Find the measures of the remaining angles. Name these triangles based on the angles and sides:

Count and write the number of different triangles in the diagram:

A diamond is a rhombus in which the length of all sides are equal. In this figure, the length of the diagonal is also equal to the length of the side. In the given figure, $\mathrm{ABCD}$ is a diamond. Count the number of hidden equilateral triangles and diamonds: