Angle Pair Relationships (B) - Complementary, Supplementary, Vertical, and Adjacent Angles

Sep 23, 2026

Uploaded by McGucket

Angle Pair Relationships (B) focuses on solving geometry problems involving complementary angles, supplementary angles, vertical angles, and adjacent angles. The worksheet prompts students to identify the relationship for given angle pairs and then find missing angle measures by setting up equations and solving for x. It includes multi-part sets of algebraic angle expressions, a structured word problem with a right-angle corner split into two parts, and an answer key providing both equations and final angle measures.

LanguageEnglish

CategoryExam

FormatPDF

Pages4

Reading Time10 min

AccessFree to download

Angle Pair Relationships (B)

Part 1—Identify the Relationship and Find the Missing Angle

Part 2—Find the Missing Angle

Part 3—Write and Solve an Equation

Word Problem

Answer Key

Name: ______________________________________ Remember: Complementary angles sum to 90° . Supplementary angles sum to 180° . Vertical angles are equal. Adjacent angles share a vertex and a side. Angle Pair Relationships (B) Directions: Use your knowledge of angle pair relationships to answer each question. Part 1—Identify the Relationship and Find the Missing Angle 1.) Relationship: x = 3.) Relationship: x = _______ Relationship: x = _______ 4.) Relationship: x = _______ Part 2—Find the Missing Angle: Write an equation and solve for x. Equation: x = _______ Equation: x = _______ Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 7.) Equation: x = 9.) Equation: x = _______ 8.) Equation: Equation: x = _______ Part 3—Write and Solve an Equation 11.) Two angles are complementary. One is 4 times the other. Find both angles. Equation: Answer: 12.) Two angles are supplementary. One is 20° less than 3 times the other. Find both angles. Equation: Answer: 13.) Two vertical angles measure (6x − 5)° and (4x + 19)° . Find x and both angle measures. Equation: Answer: 14.) Two complementary angles measure (3x + 8)° and (x + 2)° . Find x and both angle measures. Equation: Answer: Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) Word Problem 15.) A right angle corner is divided by a decorative line into two parts. One part measures (2x + 5)° and the other measures (x + 10)° . Find x and both angle measures. Equation: Answer: Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) ANSWER KEY Part 1: 1.) Vertical angles. x = 83° 2.) Complementary angles. x = 49° 3.) Supplementary angles. x = 52° 4.) Complementary angles. x = 35° Part 2: 5.) 67+x=180 → x=180−67 x = 113° 6.) 19+x=90 → x=90−19 x = 71° 7.) Vertical: x=97° x = 97° 8.) 155+x=180 → x=180−155 x = 25° 9.) 74+x=90 → x=90−74 x = 16° 10.) Vertical: x=42° x = 42° Part 3: 11.) 5x=90 → x=18° and 4x=72° 12.) x+(3x−20)=180 → 4x=200 → x=50°, 3(50)−20=130° 13.) 6x−5=4x+19 → 2x=24 → x=12, angles=67° 14.) 4x+10=90 → 4x=80 → x=20, angles=68° and 22° Word Problem: 15.) (2x+5)+(x+10)=90 → 3x+15=90 → 3x=75 → x=25 x=25, angles=55° and 35° Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)

FAQs

What relationships are used in Angle Pair Relationships (B)?

The worksheet uses complementary angles (sum to 90°), supplementary angles (sum to 180°), vertical angles (equal), and adjacent angles (share a vertex and a side).

How do you find a missing angle when the angles are complementary or supplementary?

Write an equation using the given sum (90° for complementary, 180° for supplementary), solve for x, and then substitute to get each angle’s measure.

What method is used for vertical angles in these problems?

Set the expressions for the two vertical angles equal to each other, solve for x, and then compute both angle measures.

Sep 23, 2026

Uploaded by McGucket