Exploring Triangle Angle Relationships

The video tutorial explains how the sum of interior angles in a triangle equals 180 degrees. It guides viewers through solving for missing angles in triangles using equations. The tutorial also covers vertical angles and the exterior angle theorem, demonstrating how to set up equations to find unknown angles.

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

• 180°

• 360°

• 90°

• 270°

If the angles of a triangle are 50°, 60°, and x°, what is the value of x?

• 70°

• 100°

• 80°

• 90°

In a triangle, if one angle is 66° and another is 49°, what is the measure of the third angle?

• 75°

• 65°

• 85°

• 95°

If angles 65°, y, and z are linear, and y is 66°, what is the value of z?

• 54°

• 64°

• 59°

• 49°

Given that y is 100° in a triangle, what is the measure of the vertical angle opposite to y?

• 80°

• 110°

• 100°

• 90°

If the two inside angles of a triangle are 40° and 60°, what is the measure of the exterior angle?

• 90°

• 100°

• 110°

• 120°

According to the exterior angle theorem, the exterior angle is equal to the sum of which angles?

• The two exterior angles

• The two non-adjacent interior angles

• The two opposite angles

• The two adjacent interior angles

If the exterior angle of a triangle is 130° and one of the non-adjacent interior angles is 50°, what is the measure of the other non-adjacent interior angle?

• 60°

• 90°

• 70°

• 80°