Understanding Triangle Angles: Exploring Properties and Solving Problems

This lesson covers the properties of triangle angles, emphasizing that they sum to 180 degrees. It introduces transversals and their role in creating special angle properties, such as alternate and corresponding angles. The lesson explains how triangles can be formed using transversals and parallel lines, and demonstrates how to solve for missing angles using these concepts.

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

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

What is a line called that intersects two parallel lines?

• Perpendicular

• Bisector

• Diagonal

• Transversal

Which of the following is true about alternate interior angles?

• They are always equal to 90 degrees

• They are always complementary

• They are always congruent

• They are always supplementary

How can you verify that the angles of a triangle sum to 180 degrees using a paper triangle?

• Draw a circle around the triangle

• Measure each angle with a protractor

• Tear off the vertices and align them in a straight line

• Fold the triangle in half

If two angles of a triangle are 89 degrees and 68 degrees, what is the measure of the third angle?

• 28 degrees

• 33 degrees

• 45 degrees

• 23 degrees