By LearningExpress Editors

Updated on Oct 5, 2011

Review the following concept if necessary: Pairs of Angles Study Guide

**Pairs of Angles Practice Questions**

**Problems**

**Find the measure of a complement of 1 for each of the following measures of 1.**

*m*1 = 44°*m*1 = 68°*m*1 = 80°*m*1 = 25°*m*1 = 3°

**Find the measure of a supplement of 2 for each of the following measures of 2.**

*m*2 = 78°*m*2 = 130°*m*2 = 60°*m*2 = 155°*m*2 = 1°

**Use the following figure to answer practice problems 11–13.**

- Name two supplement angles of DOE.
- Name a pair of complementary angles.
- Name two pairs of vertical angles.

**State whether the following statements are true or false.**

- Complementary angles must be acute.
- Supplementary angles must be obtuse.
- Two acute angles can be supplementary.
- A pair of vertical angles can be complementary.
- A pair of vertical angles can be supplementary.
- Vertical angles must have the same measure.
- Complementary angles can be adjacent.
- Supplementary angles can be adjacent.
- Any two right angles are supplementary.
- Two acute angles are always complementary.
- An acute and an obtuse angle are always supplementary.
- The intersection of two rays creates two pairs of vertical angles and four pairs of supplementary angles.

**Use the following figure to answer practice problem 26.**

- A common error is assuming that any pair of angles that are "across from each other" are vertical. In this figure, 1 and 3 are vertical angles because they are formed by intersecting lines. Angles 2 and 4 are not vertical angles. Name three other pairs of nonadjacent angles that are also not vertical.

**Use the following figure to answer practice problems 27–30.**

- List the supplementary angles of
*WAU*. - List the complementary angles of
*WAX*. - List the vertical angles shown in the figure.
- What is the measure of
*ZAX*.

**Answers**

- 46°
- 22°
- 10°
- 65°
- 87°
- 102°
- 50°
- 120°
- 25°
- 179°
*AOE*and*COD**BOC*and*COD**AOE*and*COD*;*EOD*and*AOC*- true
- false
- false
- true
- true
- true
- false
- true
- true
- false
- false
- true
- 2 and 5; 3 and 5; 1 and 4
*XAW*and*YAU**XAZ*and*ZAX**XAY*and*WAU*;*XAW*and*YAU*- 40°

From Geometry Success in 20 Minutes a Day. Copyright © 2010 by LearningExpress, LLC. All Rights Reserved.

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