Draw a rough sketch of $\mathrm{\Delta }PQR$. Draw the altitudes of the triangle.

Count the triangles in the following figure.

If the measures of each of the unknown angles denoted by $x$ is $k°$, then find the value of $k.$

If the value of $a$ is $k°$, find $k$.

If the value of $b$ is $k°$, find $k$.

Find the value of $x$ if the three angles of a triangle are $x°, 2x°, 3x°$.