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Lesson: Angle Relationships Mathematics

In this lesson, we will learn how to solve equations using the relationships between complementary, supplementary, adjacent, and vertically opposite angles.

Lesson Plan

Students will be able to

identify a pair of complementary angles,
identify a pair of supplementary angles,
classify pairs of angles as complementary or supplementary,
identify a pair of adjacent angles,
identify a pair of vertically opposite angles,
find the measure of an angle given its complementary angle,
find the measure of an angle given its supplementary angle,
find the measure of an angle given a vertically opposite angle,
solve word problems using complementary, supplementary, adjacent, and vertically opposite angles.

Lesson Video

Lesson Worksheet

Q1:

Find the values of and so that and are perpendicular.

Q2:

In the given diagram, is a straight line, , and .

Form an equation that will allow you to calculate .

Solve for .

Q3:

What is the measure of ?