温馨提示：本站仅提供公开网络链接索引服务，不存储、不篡改任何第三方内容，所有内容版权归原作者所有
AI智能索引来源：http://www.edu.com/math-glossary/Adjacent-Angles-Definition-Examples
点击访问原文链接

Adjacent Angles – Definition, Examples | EDU.COM

进入原网站 导航首页
Adjacent Angles – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Adjacent AnglesAdjacent Angles – Definition, ExamplesTable of ContentsAdjacent Angles: Definition, Properties, and Examples Definition of Adjacent Angles

Adjacent angles are two angles that share a common side and a common vertex, but do not overlap. When two angles are placed next to each other with a common arm connecting them, they are considered "adjacent." The key requirements are that they must share both a common vertex (the point where the angles meet) and a common side, while ensuring one angle is not inside the other angle.

Adjacent angles possess several important properties. They share a common side (arm) and a common vertex, do not overlap, have a non-common arm on both sides of the common arm, and do not have a common interior point. These characteristics help distinguish adjacent angles from other angle types like vertical angles, which are formed when two lines intersect, creating opposite angles that are equal in measure."

Examples of Adjacent Angles Example 1: Identifying Adjacent Angles on a Clock Problem:

Look at the hands of the given clock. Do they form a pair of adjacent angles?

Step-by-step solution: Step 1, Look at the three hands of the clock (hour, minute, and second hands).

adjacent angles

Step 2, Notice that these hands form a pair of adjacent angles with the second hand as the common arm.

Step 3, One angle is formed by the minute hand and the second hand.

Step 4, The other angle is formed by the second hand and the hour hand.

Step 5, Since these angles share a common vertex (the center of the clock) and a common side (the second hand), they are adjacent angles.

Example 2: Determining if Angles A and B are Adjacent Problem:

Are the angles marked A and B adjacent? Support your answers with reasons.

adjacent angles

Step-by-step solution:

Step 1, Check if angles A and B share a common vertex. We can see they both meet at point O.

Step 2, Check if they share a common arm. We can see that they do have a common arm.

Step 3, Make sure the angles don't overlap. Looking at the angles, we can see that they don't overlap.

Step 4, Reach a conclusion: Since angles A and B have a common vertex O and a common arm, and they don't overlap, they are adjacent angles.

Example 3: Finding Adjacent Angles in a Multi-angle Figure Problem:

Observe the given diagram. Which angles are adjacent angles?

adjacent angles

Step-by-step solution:

Step 1, Remember that adjacent angles share a common vertex and a common side.

Step 2, Look at angles 1 and 2. They share a common vertex and a common side, so they are adjacent.

Step 3, Look at angles 2 and 3. They share a common vertex and a common side, so they are adjacent.

Step 4, Notice that we can also form larger angles by combining angles. The angle formed by combining angles 1 and 2 is adjacent to angle 3.

Step 5, Similarly, the angle formed by combining angles 2 and 3 is adjacent to angle 1.

Comments(6)YYogiAriaNovember 4, 2025This def of adjacent angles is great! I've used it to explain to my students. Real-world examples really helped them grasp the concept.

MCMs. CarterSeptember 17, 2025I’ve been using the adjacent angles definition from this page to help my kids with their homework. The examples with clocks are super relatable—it really clicked for them! Great resource!

MCMs. CarterSeptember 10, 2025I’ve been helping my kids with geometry, and this page made adjacent angles so easy to understand! The clock example was perfect for explaining it in a relatable way. Great resource!

NNatureLover28August 27, 2025This definition of adjacent angles was so clear and easy to explain to my kids! We even used a clock to show examples—it really helped them 'see' the concept. Thanks for the great resource!

MCMs. CarterAugust 22, 2025This definition of adjacent angles was super clear! I used the clock example to help my kids understand, and it really clicked for them. Thanks for making math easier to teach!

svg]:px-3 dk:w-auto h-10 dk:h-14 rounded-lg dk:rounded-[15px] px-5 dk:px-7.5 text-sm dk:text-xl text-[#3467FF] bg-white hover:bg-white">Load MoreExplore More TermsAngle Bisector TheoremX SquaredDecameterFeet to CmHeight2 DimensionalView All Math TermsRecommended Interactive LessonsUnderstand Equivalent Fractions Using Pizza Models3Math3.NF.A.3.a, 3.NF.A.3.bUnderstand division: number of equal groups3Math2.OA.CDivide a number by itself3Math3.OA.C.7Multiply by 03Math3.OA.C.7Multiply Easily Using the Distributive Property3Math3.OA.B.5Two-Step Word Problems: Four Operations3Math3.OA.D.8View All Interactive LessonsRecommended VideosFractions and Whole Numbers on a Number Line3Math3.NF.A.3cDivide by 6 and 73Math3.OA.C.7Read and Make Scaled Bar Graphs3Math3.MD.B.3Use models and the standard algorithm to divide two-digit numbers by one-digit numbers4Math4.NBT.B.6Multiply Mixed Numbers by Mixed Numbers5Math5.NF.B.4aUnderstand and Write Equivalent Expressions6Math6.EE.A.3, 6.EE.A.4View All VideosRecommended WorksheetsClassify and Count ObjectsKMathK.MD.B.3Sort and Describe 3D Shapes1Math1.G.A.1Make A Ten to Add Within 201Math1.OA.C.6Divide by 2, 5, and 103Math3.OA.C.7Use The Standard Algorithm To Divide Multi-Digit Numbers By One-Digit Numbers4Math4.NBT.B.6Evaluate numerical expressions in the order of operations5Math5.OA.A.1View All WorksheetsRecommended Coloring PagesCuckoo sitting on a branchPre-K – KAll SubjectsBeach hat with a wide brim and a ribbon tied around itPre-K – KAll SubjectsA beach pail with a starfish beside itPre-K – KAll SubjectsTwo starfish on the beach with simple waves in the background1 – 2All SubjectsOcean liner docked at a harbor with a few small boats around1 – 2All SubjectsBaklava being served on a tray with a detailed napkin and tea set3 – 4All SubjectsView All Coloring PagesRecommended BlogsEye-Opening Summer Slide Statistics Every Parent Should KnowOctober 12, 2025A Parent's Guide to the Benefits of Tutoring for Elementary StudentsOctober 11, 2025How to Change ABCya from Spanish to English: A Parent's GuideOctober 5, 2025Top Sites Like ABCya for Kids' Digital Learning FunOctober 4, 2025Age-Appropriate Chores for 10 Year Olds: Building Independence and Life SkillsSeptember 17, 2025The Best Tablet for Autistic Children: A Parent and Teacher's Guide to Making Smart ChoicesSeptember 17, 2025View All Blog PostsQUICK LINKSAbout UsPrivacy PolicyTerms of ServiceTOOLSHomework HelperGuide DesignerPodcast MakerPlan BuilderRESOURCESMath GlossaryEnglish GlossaryEnglish Language ArtsMathematicsScienceBook InsightsFun with WordsBlog© 2025 EDU.COM. All rights reserved.

智能索引记录