Exploring Angles and Triangle Types

The video tutorial covers the concepts of interior and exterior angles, the exterior angle theorem, and the triangle sum theorem. It explains how to calculate the sum of interior angles in polygons and discusses the properties of isosceles and equilateral triangles. The tutorial includes examples and exercises to reinforce understanding.

What is an interior angle?

• An angle that is always 90 degrees.

• An angle formed outside of a polygon.

• An angle formed by two sides of a polygon with a common vertex.

• An angle formed by one side of a polygon and the extension of an adjacent side.

What does the term 'remote interior angle' refer to?

• An angle adjacent to the exterior angle.

• An angle far away from the exterior angle.

• An angle formed by the extension of a side.

• An angle that is always 90 degrees.

According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to:

• The sum of the measures of its adjacent interior angles.

• The difference between the measures of its adjacent interior angles.

• The measure of one of its remote interior angles.

• The sum of the measures of its remote interior angles.

If an exterior angle of a triangle is 150 degrees, what is the measure of its adjacent interior angle?

• 180 degrees

• 150 degrees

• 30 degrees

• 60 degrees

What is the sum of the interior angles of a triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

How do you calculate the sum of the interior angles of a polygon with n sides?

• (n - 2) * 90

• n * 180

• (n - 2) * 180

• n * 90

What is the sum of the interior angles of a quadrilateral?

• 540 degrees

• 720 degrees

• 360 degrees

• 180 degrees

In an isosceles triangle, the angles opposite the equal sides are:

• Always 90 degrees

• Congruent

• Different

• Supplementary

If a triangle is equilateral, what is the measure of each angle?

• 120 degrees

• 45 degrees

• 60 degrees

• 90 degrees

In an isosceles triangle, if one of the base angles is 46 degrees, what is the measure of the other base angle?

• 30 degrees

• 60 degrees

• 90 degrees

• 46 degrees