Which of the following is the correct way of naming an angle?

If you want to create an irregular pentagon with two congruent sides and three different sides, what kind of mark would you use in your drawing to indicate the congruent sides?

You have an irregular nonagon. How can you indicate congruent angles?

Which of the following pairs of angles must always be supplementary?

If angle A and angle B are adjacent and supplementary, and angle A is four times angle B, what is the measure of angle A? 

If two angles are complementary and one angle is four times the measure of the other, what is the measure of the larger angle?

If ∠X and ∠Y are vertical angles and ∠X = 60°, what is the measure of ∠Y?

How many triangles can be formed by drawing diagonals from one vertex of a 10-sided polygon?

What is the sum, in degrees, of the measures of the interior angles of a stop sign, which is in the shape of an octagon?

The measures of five of the interior angles of a hexagon are 150°, 100°, 80°, 165°, and 150°. What is the measure of the sixth interior angle?

How many sides does a polygon have if the sum of its interior angles is 1980°? 

A polygon has a total of 27 diagonals. How many sides does it have? 

A regular polygon has an interior angle of 144°. How many sides does the polygon have? 

What is the value of angle Y in a quadrilateral where three of the angles are 90°, 110°, and 70°? 

A playground is shaped like a regular decagon. To place tiles evenly, what is the measure of each interior angle?

A hexagon-shaped floor tile has four interior angles measuring 105°, 95°, 110°, and 130°. If the remaining angles are congruent, what is the measure of each of these two angles?

If the exterior angle of a regular polygon measures 40°, how many sides does it have? 

If the angles of a triangle are 42°, 73°, and 65°, which of the following would be an exterior angle of the triangle?

Prince Duke is walking around a building that is in the shape of a regular polygon. He determines that the measure of one exterior angle of the building is 60°. What shape does the building have?

A convex octagon has exterior angles measuring 25°, 30°, 40°, 50°, 55°, 65°, and 70°. What is the measure of the eighth exterior angle?

In a triangle, the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles. If the measure of an exterior angle is 120° and one of the remote interior angles is 40°, what is the measure of the other remote interior angle?

If the measure of an exterior angle of a triangle is 110° and the measures of the two remote interior angles are x and x + 20°, what is the value of x?

Two angles form a linear pair. If the measure of one angle is twice the measure of the other angle, what are the measures of the two angles?

A student created a mural design with a shape that had overlapping sides. The teacher pointed out that the shape wasn't a polygon. What is the most accurate reason for this?

What type of polygon is a shape with 13 sides of varying lengths and no equal angles?

A regular hexagon has one side measuring 8 cm. What is its perimeter?

Five angles meet at a single point, forming a full circle. If one of the angles measures 120°, what is the sum of the measures of the other four angles?