{"id":6110,"date":"2022-11-30T14:41:14","date_gmt":"2022-11-30T18:41:14","guid":{"rendered":"http:\/\/www.fcsuper.com\/swblog\/?p=6110"},"modified":"2022-11-30T14:41:20","modified_gmt":"2022-11-30T18:41:20","slug":"angles-and-their-relationships","status":"publish","type":"post","link":"http:\/\/www.fcsuper.com\/swblog\/?p=6110","title":{"rendered":"Angles and their relationships"},"content":{"rendered":"\n

Geometry establishes a lot of imaginary objects and relationships between them in order to define models and the real world.\u00a0 Angles are an important set of those relationships.\u00a0 But, we often skip or forget types of relationships between angles.\u00a0 Let’s look at related angles<\/strong>.\u00a0 Related angles are pairs of angles that have some sort of relationship to each other.\u00a0 Several types of related angles are established by Geometry.\u00a0 Some may surprise, as they aren\u2019t commonly known.<\/p>\n\n\n\n

Types of related angles<\/h3>\n\n\n\n

Complementary angles<\/strong> \u2013 a pair of angles with a common vertex and a sum of a right angle (90\u00b0).<\/p>\n\n\n

\n
\"Complementary<\/figure><\/div>\n\n\n

Supplementary angles<\/strong> \u2013 a pair of angles with a common vertex and a sum of a straight angle (180\u00b0).<\/p>\n\n\n

\n
\"Supplementary<\/figure><\/div>\n\n\n

Explementary angles<\/strong> \u2013 a pair of angles with a common vertex and a sum of a full circle (360\u00b0).<\/p>\n\n\n

\n
\"Explementary<\/figure><\/div>\n\n\n

Vertically opposite angles<\/strong> \u2013 a pair of angles that equal to each other and are vertical-and-opposite of each other with a common vertex.\u00a0 These angles are formed by two intersecting lines.<\/p>\n\n\n

\n
\"Vertically<\/figure><\/div>\n\n\n

Of course, a single complementary angle is one of the pair of complementary angles.  A single supplementary angle is one of the pair of supplementary angles.  A single explementary angle is one of a pair of explementary angles.  And, a single vertically opposite angle is one of a pair of vertically opposite angles.<\/p>\n\n\n\n

Conjugate?<\/h3>\n\n\n\n

The term conjugate angles<\/strong> is sometimes used as a synonym for explementary angles<\/strong>.\u00a0 Technically, conjugate angles is a set of angles with a sum of 360\u00b0. Despite the word conjugate <\/em>meaning coupled\/related\/connected, it seems that the term conjugate angles<\/em> is a set that need not be made up of only two angles, and so the angles within the set are not necessarily related angles, though they are connected by a common vertex. Additionally, the term conjugate angles<\/em> does not apply directly to any angles within the set, but only to the set itself, so there\u2019s no singular form of this term.<\/p>\n\n\n

\n
\"Conjugate<\/figure><\/div>\n\n\n

SOLIDWORKS support for angle dimensions<\/h3>\n\n\n\n

Though explementary and vertically opposite angles are not as common as supplementary and complementary angles, they are important from time to time when designing and defining mechanical components and assemblies.\u00a0 As such, SOLIDWORKS has supported both explementary and vertically opposite angles since release 2015.\u00a0 See Year of the Angle Dimension \u2013 Part 2 \u2013 Flipping out (and over)<\/a> and Flipped Angle Dimension in SOLIDWORKS<\/a> for information on how to use these types of angles in your dimension scheme.<\/p>\n\n\n\n

Other types of angle dimensions in SOLIDWORKS<\/h3>\n\n\n\n

Another type of angle supported in SOLIDWORKS since release 2015 is the straight angle (180\u00b0).\u00a0 You can dimension two lines that form a straight angle<\/a>.<\/p>\n\n\n

\n
\"Straight<\/figure><\/div>\n\n\n

Also, angle dimensions can be created from one line and one vertex<\/a> instead of always from two lines.<\/p>\n\n\n

\n
\"Angle<\/figure><\/div>","protected":false},"excerpt":{"rendered":"

Uncommonly known types of related angles, and their SOLIDWORKS support. Some may surprise!<\/p>\n","protected":false},"author":2,"featured_media":6114,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[16],"tags":[1165,339,596,1520,1519],"series":[],"class_list":["post-6110","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-drawing","tag-angle","tag-dimension","tag-dimensioning","tag-explementary-angle","tag-vertically-opposite-angle"],"yoast_head":"\nAngles and their relationships - SolidWorks Legion<\/title>\n<meta name=\"description\" content=\"Uncommonly known types of related angles, and their SOLIDWORKS support. 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