Triangle and Polygon Angle Properties

This video tutorial covers the concepts of interior and exterior angles in polygons. It explains how to calculate the sum of interior angles using the formula 180 * (n - 2), where n is the number of sides. The video also discusses the sum of exterior angles, which is always 360°, regardless of the number of sides. Practical examples are provided to illustrate these concepts, including calculations for triangles and octagons. The tutorial concludes with a final example and encourages viewers to practice further.

What are the angles inside a polygon called?

• Complementary angles

• Exterior angles

• Interior angles

• Supplementary angles

How do you find the sum of interior angles in a polygon with 'n' sides?

• 180 * n

• 360 * (n - 2)

• 180 * (n - 2)

• 360 * n

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

• 90°

• 180°

• 270°

• 360°

If a polygon has 8 sides, what is the sum of its interior angles?

• 720°

• 900°

• 1080°

• 1260°

What is the sum of all exterior angles in any polygon?

• 180°

• 270°

• 360°

• 540°

Why do the exterior angles of a polygon add up to 360°?

• Because they are equal to interior angles

• Because they are supplementary

• Because they form a full circle

• Because they form a straight line

In a triangle ABC, if angle ABC is 35° and angle BCA is 45°, what is angle BAC?

• 70°

• 80°

• 90°

• 100°

What is the exterior angle of a triangle if one of its interior angles is 100°?

• 80°

• 90°

• 100°

• 110°

In triangle ABC, if the sum of the exterior angles at B and C is 210°, what is the exterior angle at A?

• 130°

• 140°

• 120°

• 150°

If the exterior angle at A in triangle ABC is 150°, what is the interior angle at A?

• 50°

• 40°

• 30°

• 60°