The exterior angle of a triangle is ${50}^{\mathrm{o}}$ and interior opposite angles are in the ratio $2:3$. Find all the three angles of the triangle.

Crosswords
Use the clues to fill in the words below.
Words can go across or down.
Letters are shared when the words intersect.

Across
$4$. The line segment joining the vertex of a triangle to the midpoint of its opposite sides.
$7$. The point where all the altitudes of a triangle meet.
$8$. The perpendicular from a vertex to the opposite side.
Down
$1$. The side opposite to the right angle in a right triangle.
$2$. The point where all medians meet
$3$. The triangle in which two sides are equal in length
$5$. The sum of three angles of a triangle
$6$. The sum of the lengths of all sides of the triangle

Find the value of $x$ and $y$.

Find the value of $x$ and $y$.

Find the value of $x$ and $y$.

Find the value of $x$ and $y$.

Can a triangle be constructed with the following measurements of sides? Explain.

$5 \mathrm{cm}, 8 \mathrm{cm}, 10 \mathrm{cm}$

Can a triangle be constructed with the following measurements of sides? Explain.

$6 \mathrm{cm}, 4 \mathrm{cm}, 11 \mathrm{cm}$