Properties of Angles and Triangles

The video tutorial covers the top 10 essential angle theorems, including complementary and supplementary angles, the sum of angles in triangles and polygons, the isosceles triangle theorem, the exterior angle theorem, vertical and alternate angles, co-interior and corresponding angles, and circle theorems. Each theorem is explained with examples to enhance understanding. The video concludes with a test to assess comprehension.

What is the sum of complementary angles?

• 90°

• 360°

• 180°

• 45°

If two angles are supplementary, what is their sum?

• 270°

• 360°

• 180°

• 90°

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

• 360°

• 270°

• 180°

• 90°

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

• n × 90°

• (n+2) × 180°

• n × 180°

• (n-2) × 180°

In an isosceles triangle, if two sides are equal, what can be said about the angles opposite these sides?

• They are complementary

• They are supplementary

• They are right angles

• They are equal

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

• Twice the opposite interior angle

• The sum of the two opposite interior angles

• The sum of all interior angles

• Half of the opposite interior angle

What does the vertical angle theorem state about angles formed by two intersecting lines?

• They are right angles

• They are complementary

• They are supplementary

• They are equal

What is true about alternate interior angles when two parallel lines are cut by a transversal?

• They are complementary

• They are right angles

• They are supplementary

• They are equal

Co-interior angles on the same side of a transversal add up to:

• 90°

• 270°

• 180°

• 360°

What is true about corresponding angles when two parallel lines are cut by a transversal?

• They are right angles

• They are complementary

• They are supplementary

• They are equal