Exploring Angle Relationships in Triangles

The video tutorial covers the angle sum and exterior angles of triangles. It explains that the sum of the interior angles of a triangle is always 180 degrees and demonstrates how to solve for unknown angles using this principle. The tutorial includes examples of finding the value of X in different triangle scenarios, including those with exterior angles. Students are given practice problems to reinforce their understanding.

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

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

If a triangle has angles of 78 degrees and 51 degrees, what is the measure of the third angle?

• 54 degrees

• 51 degrees

• 52 degrees

• 53 degrees

Given a triangle with angles 85 degrees and 40 degrees, what is the measure of the third angle?

• 55 degrees

• 50 degrees

• 45 degrees

• 60 degrees

If a triangle has angles of 85 degrees and 48 degrees, what is the measure of the third angle?

• 48 degrees

• 47 degrees

• 46 degrees

• 45 degrees

If a triangle has one interior angle of 57 degrees and an exterior angle of 123 degrees, what is the measure of the missing interior angle?

• 30 degrees

• 31 degrees

• 32 degrees

• 33 degrees

What is the relationship between an exterior angle and the interior angles of a triangle?

• The exterior angle is equal to the sum of all three interior angles.

• The exterior angle is equal to the difference between the adjacent interior angle and 180 degrees.

• The exterior angle is equal to the sum of the two non-adjacent interior angles.

• The exterior angle is equal to the difference between the two non-adjacent interior angles.

If a triangle has angles of 92 degrees and 57 degrees, what is the measure of the third angle?

• 33 degrees

• 32 degrees

• 31 degrees

• 30 degrees

What is the measure of an exterior angle if the two non-adjacent interior angles are 92 degrees and 31 degrees?

• 124 degrees

• 123 degrees

• 126 degrees

• 125 degrees

In a triangle, if one angle is 86 degrees and another is 47 degrees, what is the measure of the third angle?

• 50 degrees

• 47 degrees

• 48 degrees

• 49 degrees

Given a triangle with an exterior angle of 134 degrees and one interior angle of 22 degrees, what is the measure of the missing interior angle?

• 44 degrees

• 24 degrees

• 54 degrees

• 64 degrees