How to determine all the missing angles of two triangles ex 3

The video tutorial demonstrates how to find missing angles in triangles using the triangle angle sum theorem, which states that the sum of angles in a triangle is 180 degrees. The instructor calculates missing angles by applying this theorem and discusses angle relationships such as vertical angles and linear pairs. The tutorial concludes with solving for the final missing angle, reinforcing the concepts of angle relationships and the triangle angle sum theorem.

What is the sum of all angles in a triangle?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

If two angles in a triangle are 70 degrees and 35 degrees, what is the measure of the third angle?

• 75 degrees

• 105 degrees

• 95 degrees

• 85 degrees

What is a characteristic of vertical angles?

• They are supplementary

• They are always acute

• They share a vertex but not sides

• They are always obtuse

If two angles form a linear pair, what is their combined measure?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

Using the triangle angle sum theorem, if two angles are 70 degrees and 28 degrees, what is the measure of the third angle?

• 72 degrees

• 82 degrees

• 100 degrees

• 90 degrees