Triangle Angle Relationships and Measures

This video tutorial explains how the angles in a triangle always sum to 180°. It covers various examples, including scalene, right angle, and isosceles triangles, demonstrating how to find missing angles using given angle measurements. The tutorial emphasizes the properties of different types of triangles and provides step-by-step calculations to solve for unknown angles.

What is the sum of the angles in any triangle?

• 360 degrees

• 180 degrees

• 270 degrees

• 90 degrees

Which of the following is true for the angles in a triangle?

• They always add up to 360°

• They always add up to 90°

• They always add up to 180°

• They always add up to 270°

If two angles in a triangle are 29° and 118°, what is the measure of the third angle?

• 39°

• 33°

• 37°

• 35°

How do you find the missing angle in a triangle if two angles are known?

• Add the two known angles and subtract from 360°

• Add the two known angles and subtract from 180°

• Divide the two known angles

• Multiply the two known angles

In a right triangle, if one angle is 18°, what is the measure of the other non-right angle?

• 82°

• 72°

• 62°

• 92°

If a triangle has angles measuring 90°, 18°, and X°, what is the value of X?

• 92°

• 82°

• 62°

• 72°

What is the measure of the missing angle in an isosceles triangle if the two equal angles are 75° each?

• 45°

• 30°

• 40°

• 35°

In an isosceles triangle, if one of the equal angles is 75°, what is the measure of the third angle?

• 40°

• 35°

• 45°

• 30°

In an isosceles triangle, if the vertex angle is 32°, what is the measure of each of the base angles?

• 78°

• 76°

• 72°

• 74°

What is the measure of each base angle in an isosceles triangle if the vertex angle is 32°?

• 74°

• 72°

• 76°

• 78°