Angle Relationships - Angle Relationships printable pdf download

Angle Relationships - Angle Relationships

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1-5 Study Guide and Intervention

Angle Relationships

Pairs of Angles

Adjacent angles are two angles that lie in the same plane and have a common vertex and a common

side, but no common interior points. A pair of adjacent angles with noncommon sides that are opposite rays is called a

linear pair. Vertical angles are two nonadjacent angles formed by two intersecting lines.

Example:

Name an angle or angle pair that satisfies each condition.

a. two vertical angles

∠ EFI and ∠ GFH are nonadjacent angles formed by

two intersecting lines. They are vertical angles.

b. two adjacent angles

∠ ABD and ∠ DBE have a common vertex and a common side but no

common interior points. They are adjacent angles.

c. two supplementary angles

∠ EFG and ∠ GFH form a linear pair. The angles are supplementary.

d. two complementary angles

m∠ CBD + m∠ DBE = 90. These angles are complementary.

Exercises

Name an angle or angle pair that satisfies each condition.

1. two adjacent angles

2. two acute vertical angles

3. two supplementary adjacent angles

4. an angle supplementary to ∠ RTS

For Exercises 5-7, use the figure at the right.

5. Identify two obtuse vertical angles.

6. Identify two acute adjacent angles.

7. Identify an angle supplementary to ∠ TNU.

8. Find the measures of two complementary angles if

the difference in their measures is 18.

Chapter 1

Glencoe Geometry

Angle Relationships - Angle Relationships