How many degrees are there in each angle of a regular hexagon? <\/p>\n\n\n\n
a) 60 degrees <\/p>\n\n\n\n
b) 90 degrees <\/p>\n\n\n\n
c) 120 degrees <\/p>\n\n\n\n
d) 180 degrees?<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The correct answer is c) 120 degrees<\/strong>.<\/p>\n\n\n\n A regular hexagon is a polygon with six sides of equal length and six angles of equal measure. To calculate the measure of each interior angle of a regular hexagon, we can use the formula for the interior angle of a regular polygon: Interior Angle=(n\u22122)\u00d7180\u2218n\\text{Interior Angle} = \\frac{(n-2) \\times 180^\\circ}{n}<\/p>\n\n\n\n Where nn is the number of sides of the polygon. For a hexagon, n=6n = 6. Substituting this into the formula: Interior Angle=(6\u22122)\u00d7180\u22186=4\u00d7180\u22186=720\u22186=120\u2218\\text{Interior Angle} = \\frac{(6-2) \\times 180^\\circ}{6} = \\frac{4 \\times 180^\\circ}{6} = \\frac{720^\\circ}{6} = 120^\\circ<\/p>\n\n\n\n Thus, each interior angle of a regular hexagon is 120 degrees.<\/p>\n\n\n\n In a regular hexagon, the sum of the interior angles is calculated as: Sum of Interior Angles=(n\u22122)\u00d7180\u2218=(6\u22122)\u00d7180\u2218=4\u00d7180\u2218=720\u2218\\text{Sum of Interior Angles} = (n-2) \\times 180^\\circ = (6-2) \\times 180^\\circ = 4 \\times 180^\\circ = 720^\\circ<\/p>\n\n\n\n Since the hexagon is regular, all six interior angles are equal. Therefore, each angle is: 720\u22186=120\u2218\\frac{720^\\circ}{6} = 120^\\circ<\/p>\n\n\n\n This means that every angle inside the regular hexagon measures exactly 120 degrees.<\/p>\n\n\n\n Understanding the properties of a regular hexagon is essential in various fields such as geometry, architecture, and design, where symmetry plays a significant role. The regular hexagon\u2019s 120-degree angles contribute to its unique and highly symmetrical shape, making it suitable for tiling and other applications.<\/p>\n","protected":false},"excerpt":{"rendered":" How many degrees are there in each angle of a regular hexagon? a) 60 degrees b) 90 degrees c) 120 degrees d) 180 degrees? The correct answer and explanation is: The correct answer is c) 120 degrees. A regular hexagon is a polygon with six sides of equal length and six angles of equal measure. […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-47127","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47127","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=47127"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47127\/revisions"}],"predecessor-version":[{"id":47128,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47127\/revisions\/47128"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=47127"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=47127"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=47127"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}