Angles of Triangles: Interior and Exterior Angle Measures

The video tutorial covers the concepts of interior and exterior angles of triangles. It explains that the sum of the interior angles of a triangle is always 180 degrees, regardless of the triangle's size. The tutorial demonstrates how to find a missing interior angle using this theorem. It also introduces the exterior angle theorem, which states that an exterior angle is equal to the sum of the two non-adjacent interior angles. The video provides examples and exercises to help viewers understand and apply these theorems to solve for unknown angles.

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

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

If two angles of a triangle are 62 degrees and 74 degrees, what is the measure of the third angle?

• 64 degrees

• 54 degrees

• 44 degrees

• 74 degrees

In a right triangle, if one angle is 26 degrees, what is the measure of the other non-right angle?

• 64 degrees

• 32 degrees

• 90 degrees

• 58 degrees

What is the measure of an exterior angle of a triangle if the two non-adjacent interior angles are 35 degrees and 73 degrees?

• 115 degrees

• 110 degrees

• 108 degrees

• 120 degrees

Which angles are considered non-adjacent to an exterior angle in a triangle?

• None of the interior angles

• All interior angles

• The angles that do not share a side with the exterior angle

• The angles that share a side with the exterior angle

If an exterior angle is represented by x + 95 and the sum of the two non-adjacent interior angles is 2x + 80, what is the value of x?

• 10

• 15

• 25

• 20

What is the measure of the exterior angle if x is found to be 15 in the equation x + 95?

• 105 degrees

• 110 degrees

• 115 degrees

• 100 degrees