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/Acute-Angle-Definition-Examples
点击访问原文链接

Acute Angle – Definition, Examples | EDU.COM

进入原网站 导航首页
Acute Angle – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Acute AngleAcute Angle – Definition, ExamplesTable of ContentsAcute Angle Definition of Acute Angle

In geometry, an angle is formed when two rays share a common endpoint. This common endpoint is called the vertex, and the two rays are called the arms of the angle. An acute angle is specifically defined as any angle that measures greater than 0° and less than 90°. Examples of acute angles include 67°, 45°, 23°, 52°, 86°, and 14°.

There are three basic types of angles: acute angle (measuring less than 90°), right angle (measuring exactly 90°), and obtuse angle (measuring more than 90°). Acute angles can be found in many real-life objects like pizza slices, wall clocks at certain times, open scissors, and even in nature like the beaks of birds. An interesting fact is that at least two angles of any triangle are always acute angles.

Examples of Acute Angle Example 1: Identifying Types of Angles Problem:

The measure of three angles is as follows: 75° 112° 17° Mention the type of angle in each case.

Step-by-step solution: Step 1, Look at the first angle, 75°. Is it less than 90°? Yes, 75° is less than 90°, so this is an acute angle.

angle 75°

Step 2, Look at the second angle, 112°. Is it less than 90°? No, 112° is more than 90°, so this is an obtuse angle.

angle 112°

Step 3, Look at the third angle, 17°. Is it less than 90°? Yes, 17° is less than 90°, so this is an acute angle.

angle 17°

Example 2: Finding Acute Angles from a Given Set Problem:

Measure of some angles are given below: Find all the acute angles

angles

Step-by-step solution:

Step 1, Recall that acute angles measure less than 90°.

Step 2, Check each angle to see if it's less than 90°.

Step 3, The acute angles are: ∠A, ∠B, ∠C and ∠E.

Example 3: True or False Questions About Angles Problem:

State True or false: An angle measuring 45° is a right angle. An angle measuring 85° is an acute angle. An angle measuring 90° is an obtuse angle. An angle measuring 15° is an acute angle.

Step-by-step solution: Step 1, Check the first statement: "An angle measuring 45° is a right angle." Remember, a right angle measures exactly 90°. Since 45° is less than 90°, this is not a right angle but an acute angle. The statement is False.

angle 45°

Step 2, Check the second statement: "An angle measuring 85° is an acute angle." Acute angles measure less than 90°. Since 85° is less than 90°, this is an acute angle. The statement is True.

angle 85°

Step 3, Check the third statement: "An angle measuring 90° is an obtuse angle." Obtuse angles measure more than 90°. Since 90° is not more than 90°, this is not an obtuse angle but a right angle. The statement is False.

angle 90°

Step 4, Check the fourth statement: "An angle measuring 15° is an acute angle." Since 15° is less than 90°, this is an acute angle. The statement is True.

angle 15°

Comments(7)FFigureSkaterVioletNovember 6, 2025This clear def of acute angle has been great for my students! They grasp it easily. Thanks for the useful resource.

RRugbyAdmirerUlyssesNovember 5, 2025This definition of acute angle is super helpful! I've used it to explain to my students, and they finally get it. Thanks!

NNatureLover99September 17, 2025I love how clear the acute angle definition is here! I used the examples with my kids, and they finally got the difference between acute and obtuse angles. Great resource for visual learners!

MCMs. CarterSeptember 10, 2025I used this Acute Angle definition and examples to help my kids with their geometry homework—it’s so clear and easy to follow! The real-world object examples were a big hit. Thank you!

TTechGuru85August 27, 2025I used the acute angle examples from this page to help my kids spot them in everyday objects like pizza slices and clock hands. It made learning fun and practical!

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 TermsFaceOctal Number SystemSingleton SetUniversals SetTimes TablesExterior Angle TheoremView All Math TermsRecommended Interactive LessonsCompare Same Denominator Fractions Using the Rules3Math3.NF.A.3dIdentify Patterns in the Multiplication Table3Math3.OA.D.9Divide by 33Math3.OA.C.7Compare Same Denominator Fractions Using Pizza Models3Math3.NF.A.3dWord Problems: Addition, Subtraction and Multiplication3Math3.OA.D.8Write four-digit numbers in expanded form3Math3.NBT.AView All Interactive LessonsRecommended VideosWrite Subtraction SentencesKMathK.OA.A.1Add 0 And 1KMathK.OA.A.2, K.OA.A.5Find 10 more or 10 less mentally1Math1.NBT.C.5Use Doubles to Add Within 201Math1.OA.C.6Multiply tens, hundreds, and thousands by one-digit numbers4Math4.NBT.B.5Interpret A Fraction As Division5Math5.NF.B.3View All VideosRecommended WorksheetsSubtract within 1,000 fluently3Math3.NBT.A.2Multiply by 0 and 13Math3.OA.C.7Convert Units of Mass4Math4.MD.A.1，4.MD.A.2Word problems: multiplication and division of fractions5Math5.NF.B.7cMultiplication Patterns of Decimals5Math5.NBT.A.2Use Dot Plots to Describe and Interpret Data Set6Math6.SP.B.4, 6.SP.B.5a, 6.SP.B.5b, 6.SP.B.5c, 6.SP.A.2View All WorksheetsRecommended Coloring PagesOlives in a small bowlPre-K – KAll SubjectsHeart with arrow and smiling face insidePre-K – KAll SubjectsHeart-shaped stamp with small stars and hearts around it1 – 2All SubjectsGrim reaper standing in front of a haunted house3 – 4All SubjectsNebula with a detailed galaxy and multiple planets5 – 6All SubjectsWerewolf transforming under the light of a full moon with detailed background of mountains and trees5 – 6All SubjectsView All Coloring PagesRecommended BlogsHow to Help Kids Give Thoughtful Feedback on ArtworkNovember 9, 2025What Is Tutoring? Understanding the True Tutoring Meaning for K-6 StudentsOctober 17, 2025How Do I Learn a Language Quickly: Brain Training Strategies for K-6 StudentsOctober 11, 2025Essential Qualifications Every K-6 Private Tutor Must HaveOctober 11, 2025How to Be a Great Tutor: 8 Essential Skills for SuccessOctober 10, 2025Understanding Writer's Block: What It Means for Young StudentsOctober 10, 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