[amp_mcq option1=”72\u00c2\u00b0” option2=”120\u00c2\u00b0” option3=”180\u00c2\u00b0” option4=”108\u00c2\u00b0 ” correct=”option2″]<\/p>\n
The correct answer is (b).<\/p>\n
The sum of the interior angles of a polygon with $n$ sides is $(n-2)180^\\circ$. A regular pentagon has $n=5$ sides, so the sum of its interior angles is $(5-2)180^\\circ=540^\\circ$. Each interior angle of a regular pentagon is therefore $540^\\circ\/5=108^\\circ$.<\/p>\n
Option (a) is incorrect because it is the measure of an exterior angle of a regular pentagon. An exterior angle of a polygon is the angle formed by one side of the polygon and the extension of an adjacent side. The measure of an exterior angle of a polygon is equal to the sum of the measures of the two interior angles that are not adjacent to it. In a regular pentagon, the measure of each exterior angle is $180^\\circ-108^\\circ=72^\\circ$.<\/p>\n
Option (c) is incorrect because it is the measure of a straight angle. A straight angle is an angle that measures $180^\\circ$.<\/p>\n
Option (d) is incorrect because it is the measure of a right angle. A right angle is an angle that measures $90^\\circ$.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”72\u00c2\u00b0” option2=”120\u00c2\u00b0” option3=”180\u00c2\u00b0” option4=”108\u00c2\u00b0 ” correct=”option2″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[41],"tags":[],"class_list":["post-387","post","type-post","status-publish","format-standard","hentry","category-geometry","no-featured-image-padding"],"yoast_head":"\n