Exploring Vertical, Complementary & Supplementary Angles

The video tutorial covers various types of angles, including vertical, complementary, supplementary, and adjacent angles. It explains how to identify these angles and solve for missing values using simple equations. The lesson includes definitions, examples, and practice problems to reinforce understanding. Key concepts such as congruency and the sum of angles in geometric figures are highlighted. The tutorial aims to equip students with the skills to find angle measures formed by intersecting lines.

What is the common endpoint called where two rays meet to form an angle?

• Vertex

• Arc

• Line

• Ray

Which of the following is true about vertical angles?

• They add up to 90 degrees

• They are congruent

• They share a common side

• They are always adjacent

If two angles are vertical angles and one measures 42 degrees, what is the measure of the other angle?

• 21 degrees

• 84 degrees

• 42 degrees

• 63 degrees

What is the sum of the measures of two complementary angles?

• 360 degrees

• 90 degrees

• 45 degrees

• 180 degrees

Which of the following pairs of angles are supplementary?

• 40 degrees and 50 degrees

• 110 degrees and 70 degrees

• 63 degrees and 37 degrees

• 41 degrees and 49 degrees

What do we call two angles that share a common vertex and a common side?

• Adjacent angles

• Vertical angles

• Supplementary angles

• Complementary angles

If two angles add up to 170 degrees, what are they classified as?

• Complementary

• Neither

• Supplementary

• Adjacent

What is the measure of angle x if it is part of a triangle with angles measuring 30 degrees and 90 degrees?

• 30 degrees

• 90 degrees

• 60 degrees

• 120 degrees

In a triangle, if one angle is 30 degrees and another is 90 degrees, what is the measure of the third angle?

• 90 degrees

• 60 degrees

• 30 degrees

• 120 degrees

Which of the following statements is true about the interior angles of a triangle?

• They are always equal

• They add up to 180 degrees

• They add up to 90 degrees

• They are always complementary