Calculate the measure of each unknown angle.

Calculate the measure of each unknown angle.

Calculate the measure of each unknown angle.

Explain why the angle relationships shown are not possible.

Draw an example of the triangle or explain why it cannot exist.

• a triangle with an acute exterior angle

Draw an example of the triangle or explain why it cannot exist.

• a triangle with two acute exterior angles

Draw an example of the triangle or explain why it cannot exist.

• a triangle with three obtuse exterior angles

Draw an example of the triangle or explain why it cannot exist.

• a triangle with an acute exterior angle, a right exterior angle, and an obtuse exterior angle

Find the missing angle.

Calculate the measure of each unknown angle.

Find the missing angle.

For each description, draw an example of the quadrilateral or explain why it cannot exist.

• a quadrilateral with three obtuse interior angles.

For each description, draw an example of the quadrilateral or explain why it cannot exist.

• a quadrilateral with four obtuse interior angles.

For each description, draw an example of the quadrilateral or explain why it cannot exist.

• a quadrilateral with three obtuse interior angles.

For each description, draw an example of the quadrilateral or explain why it cannot exist.

• a quadrilateral with four obtuse interior angles.

Find the sum of the interior angles of hexagon.

Find the sum of the interior angles of octagon.

Find the sum of the interior angles of dodecagon (12 sided figure).

Find the measure of each interior angle of a regular pentagon.

Find the measure of each interior angle of a regular nonagon (9 sided figure).

Find the measure of each interior angle of a regular hexadecagon (16 sided figure).

If each interior angle of a regular polygon measures 168^o, how many sides does the polygon have?

Show that the area of \triangle ADE is one quarter of the area of \triangle ABC.

Is the statement true or false? If false, provide a counter example.

The medians of an equilateral triangle are equal in length.

Is the statement true or false? If false, provide a counter example.

The medians of a triangle are equal in length.