Exterior and Interior Angles in Triangles

Mrs. Yaod teaches Math 8 students about angles of triangles, focusing on interior and exterior angles. The lesson covers the sum of interior angles in a triangle, which is always 180 degrees, and the exterior angle theorem, which states that an exterior angle is equal to the sum of the two non-adjacent interior angles. The video includes examples and practice problems to reinforce these concepts.

What is an interior angle in a polygon?

• An angle that is always 90 degrees

• An angle formed by extending a side of the polygon

• An angle formed inside the polygon

• An angle formed outside the polygon

If a triangle has angles of 60, 60, and 60 degrees, what type of triangle is it?

• Right

• Equilateral

• Isosceles

• Scalene

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

• 360 degrees

• 90 degrees

• 180 degrees

• 270 degrees

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

• The two adjacent interior angles

• All three interior angles

• None of the above

• The two non-adjacent interior angles

If one exterior angle of a triangle is 120 degrees, what is the sum of the two non-adjacent interior angles?

• 60 degrees

• 120 degrees

• 180 degrees

• 240 degrees

In a triangle, if two angles are 45 degrees each, what is the measure of the third angle?

• 60 degrees

• 45 degrees

• 180 degrees

• 90 degrees

If a triangle has angles of 30, 60, and 90 degrees, what is the measure of the exterior angle adjacent to the 30-degree angle?

• 60 degrees

• 90 degrees

• 120 degrees

• 150 degrees

What is the measure of an exterior angle if the two non-adjacent interior angles are 50 and 70 degrees?

• 140 degrees

• 100 degrees

• 120 degrees

• 130 degrees

If a triangle has two equal angles of 70 degrees, what is the measure of the third angle?

• 40 degrees

• 60 degrees

• 70 degrees

• 80 degrees

In a triangle, if one angle is 110 degrees, what is the sum of the other two angles?

• 70 degrees

• 80 degrees

• 100 degrees

• 90 degrees