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MATHEMATICS OBJECTIVE
Students will be able to:
Find the measure of angles using angle relationships.
Recognize the relationship between different angles formed by intersecting lines and rays.
ESSENTIAL UNDERSTANDING
The measure of angles that are formed by intersecting lines and rays can be determined when the relationships between different types of angles are known.
I can calculate the measures of angles by using angle relationships.
ANGLE RELATIONSHIPS DIAGRAM
The diagram shows intersecting lines and rays with five labeled angles:
Angle 1, Angle 2, Angle 3, Angle 4, and Angle 5.
ADJACENT ANGLES
This ray is shared by Angles 1 and 2, so they are adjacent.
COMPLEMENTARY ANGLES
The sum of Angles 2 and 3 is 90°, so they are complementary.
Angle 2 + Angle 3 = 90°.
SUPPLEMENTARY ANGLES
Angles 4 and 5 form a straight line and add up to 180°, so they are
supplementary.
Angle 4 + Angle 5 = 180°.
VERTICAL ANGLES
Angles 1 and 4 are opposite each other, so they are vertical.
Vertical angles have equal measures.
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