{"id":5,"date":"2018-06-25T17:18:08","date_gmt":"2018-06-25T21:18:08","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/2018\/06\/25\/chapter-1\/"},"modified":"2018-12-14T14:31:01","modified_gmt":"2018-12-14T19:31:01","slug":"chapter-1","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/chapter\/chapter-1\/","title":{"raw":"Angles","rendered":"Angles"},"content":{"raw":"

What's the deal with angles anyway?<\/h1>\r\nBefore we even get into trigonometry, we need to discuss angles. \u00a0Don't worry.\u00a0 Things are not going to get too crazy.\u00a0 I promise.\r\n\r\nLet's go over the basics first.\r\n\r\nDegree.<\/strong>\u00a0 One-three-hundred-and-sixtieth of the circumference of a circle. \u00a0It is also the unit by which we measure angles.\r\n\r\n \r\n\r\n[caption id=\"attachment_144\" align=\"aligncenter\" width=\"158\"]\"\"<\/a> Figure 1. Degrees<\/strong>[\/caption]\r\n\r\nAngle.\u00a0 <\/strong>This is the space between two intersecting lines.\r\n\r\n \r\n\r\n[caption id=\"attachment_143\" align=\"aligncenter\" width=\"162\"]\"\"<\/a> Figure 2. Angle<\/strong>[\/caption]\r\n\r\nComplementary angles.<\/strong>\u00a0 These are two angles whose sum equals 90 degrees.\r\n\r\n \r\n\r\n[caption id=\"attachment_145\" align=\"aligncenter\" width=\"158\"]\"\"<\/a> Figure 3. Complementary angle<\/strong>[\/caption]\r\n\r\nSupplementary angles.\u00a0 <\/strong>These are two angles whose sum equals 180 degrees.\r\n\r\n \r\n\r\n[caption id=\"attachment_149\" align=\"aligncenter\" width=\"257\"]\"\"<\/a> Figure 4. Supplementary angle<\/strong>[\/caption]\r\n\r\nAcute angle.<\/strong>\u00a0 An angle that is less than 90 degrees.\r\n\r\n \r\n\r\n[caption id=\"attachment_142\" align=\"aligncenter\" width=\"167\"]\"\"<\/a> Figure 5. Acute angle<\/strong>[\/caption]\r\n\r\nObtuse angle.<\/strong>\u00a0 An angle that is greater than 90 degrees.\r\n\r\n \r\n\r\n[caption id=\"attachment_146\" align=\"aligncenter\" width=\"181\"]\"\"<\/a> Figure 6. Obtuse angle<\/strong>[\/caption]\r\n\r\nSimilar angles.\u00a0 <\/strong>It is possible for triangles to each have different sized sides but share the same sized angles.\u00a0 These are called similar angles.\r\n\r\n \r\n\r\n[caption id=\"attachment_148\" align=\"aligncenter\" width=\"160\"]\"\"<\/a> Figure 7. Similar angles<\/strong>[\/caption]\r\n\r\nRight angle.\u00a0 <\/strong>This is an angle that is 90 degrees.\r\n\r\n \r\n\r\n[caption id=\"attachment_147\" align=\"aligncenter\" width=\"160\"]\"\"<\/a> Figure 8. Right angle<\/strong>[\/caption]\r\n\r\nThere is a ton of information about angles that we don't need to get into. \u00a0Remember:\u00a0 Try not to overcomplicate things. \u00a0Just focus on the basics and you'll be fine.\r\n\r\nNext up:\u00a0 Triangles<\/strong>","rendered":"

What’s the deal with angles anyway?<\/h1>\n

Before we even get into trigonometry, we need to discuss angles. \u00a0Don’t worry.\u00a0 Things are not going to get too crazy.\u00a0 I promise.<\/p>\n

Let’s go over the basics first.<\/p>\n

Degree.<\/strong>\u00a0 One-three-hundred-and-sixtieth of the circumference of a circle. \u00a0It is also the unit by which we measure angles.<\/p>\n

 <\/p>\n

\"\"<\/a>
Figure 1. Degrees<\/strong><\/figcaption><\/figure>\n

Angle.\u00a0 <\/strong>This is the space between two intersecting lines.<\/p>\n

 <\/p>\n

\"\"<\/a>
Figure 2. Angle<\/strong><\/figcaption><\/figure>\n

Complementary angles.<\/strong>\u00a0 These are two angles whose sum equals 90 degrees.<\/p>\n

 <\/p>\n

\"\"<\/a>
Figure 3. Complementary angle<\/strong><\/figcaption><\/figure>\n

Supplementary angles.\u00a0 <\/strong>These are two angles whose sum equals 180 degrees.<\/p>\n

 <\/p>\n

\"\"<\/a>
Figure 4. Supplementary angle<\/strong><\/figcaption><\/figure>\n

Acute angle.<\/strong>\u00a0 An angle that is less than 90 degrees.<\/p>\n

 <\/p>\n

\"\"<\/a>
Figure 5. Acute angle<\/strong><\/figcaption><\/figure>\n

Obtuse angle.<\/strong>\u00a0 An angle that is greater than 90 degrees.<\/p>\n

 <\/p>\n

\"\"<\/a>
Figure 6. Obtuse angle<\/strong><\/figcaption><\/figure>\n

Similar angles.\u00a0 <\/strong>It is possible for triangles to each have different sized sides but share the same sized angles.\u00a0 These are called similar angles.<\/p>\n

 <\/p>\n

\"\"<\/a>
Figure 7. Similar angles<\/strong><\/figcaption><\/figure>\n

Right angle.\u00a0 <\/strong>This is an angle that is 90 degrees.<\/p>\n

 <\/p>\n

\"\"<\/a>
Figure 8. Right angle<\/strong><\/figcaption><\/figure>\n

There is a ton of information about angles that we don’t need to get into. \u00a0Remember:\u00a0 Try not to overcomplicate things. \u00a0Just focus on the basics and you’ll be fine.<\/p>\n

Next up:\u00a0 Triangles<\/strong><\/p>\n","protected":false},"author":422,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[47],"contributor":[],"license":[],"class_list":["post-5","chapter","type-chapter","status-publish","hentry","chapter-type-standard"],"part":46,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/5","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/users\/422"}],"version-history":[{"count":19,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/5\/revisions"}],"predecessor-version":[{"id":538,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/5\/revisions\/538"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/parts\/46"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/5\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/media?parent=5"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapter-type?post=5"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/contributor?post=5"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/license?post=5"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}