Exploring Interior and Exterior Angles in Triangles

What do we call the angles inside a triangle?

• Exterior angles

• Adjacent angles

• Remote angles

• Interior angles

If the sum of two angles in a triangle is 105 degrees, what is the measure of the third angle?

• 65 degrees

• 55 degrees

• 75 degrees

• 85 degrees

In a triangle, if one angle is 90 degrees and another is 40 degrees, what is the measure of the third angle?

• 60 degrees

• 70 degrees

• 50 degrees

• 30 degrees

Given the angles 2x + 60, 80, and x in a triangle, what is the value of x?

• 10

• 20

• 13.33

• 15

What is the relationship between an exterior angle and the non-adjacent interior angles in a triangle?

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

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

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

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

If an exterior angle of a triangle is 100 degrees and one of the non-adjacent interior angles is 45 degrees, what is the measure of the other non-adjacent interior angle?

• 65 degrees

• 85 degrees

• 55 degrees

• 75 degrees

In a triangle, if the exterior angle is 60 degrees and one of the non-adjacent interior angles is 24 degrees, what is the measure of the other non-adjacent interior angle?

• 40 degrees

• 26 degrees

• 34 degrees

• 36 degrees

If the exterior angle of a triangle is 148 degrees and one of the non-adjacent interior angles is 90 degrees, what is the measure of the other non-adjacent interior angle?

• 68 degrees

• 58 degrees

• 32 degrees

• 78 degrees

What is the measure of an interior angle if the exterior angle is 140 degrees and the other non-adjacent interior angle is 40 degrees?

• 50 degrees

• 60 degrees

• 70 degrees

• 80 degrees

If the exterior angle of a triangle is 155 degrees and one of the non-adjacent interior angles is 45 degrees, what is the measure of the other non-adjacent interior angle?

• 65 degrees

• 75 degrees

• 85 degrees

• 95 degrees