Solving verbal problems with complementary and supplementary angles.

Lesson's Glossary
Lesson's Content
Interactive 1
Interactive 2
Vocabulary Puzzle Interactive

Angle
Geometric shape formed by two rays (initial and ending sides of the angle) that share a common endpoint called the vertex. You may name an angle using the vertex, or a point in each ray and the vertex label in the center.

Acute angle
An angle that is between 0 and 90 degrees.

Complement
Angle that together with the given angle adds up to 90 degrees.

Complementary angles
Two angles whose measures, when added together, equal 90 degrees.

Obtuse angle
An angle whose measure is greater than 90 but less than 180 degrees.

Supplement
Angle that together with the given angle adds up to 180 degrees.

Supplementary angles
Two angles whose measures, when added together, equal 180 degrees.

Vertical angles
Nonadjacent angles that are opposite by the vertex and are formed by two intersecting straight lines.

Drag point "C" within the shaded area,

and observe how you obtain different sets of complementary angles.

Check the sum below the figure.

Drag point "C" within the shaded area to verify that you have

supplementary angles. Check the sum below the figure.

Word Problems That Involve Angle Relationships: Complementary, and Supplementary Angles.

You have learnt how to solve problems that involve complementary and supplementary angles, but when it comes to word problems that require that you built the equation from the text in the problem; you get stuck... Where should I put the equal sign? What does it mean incremented by x number of units?

This lesson uses strategies proven to help in reading word problems; by helping you to determine the relevant information in the problem; for each one of the stages in the solution of the problem. Chances are you will end up writing your own problems!