{"id":794,"date":"2013-02-18t09:00:26","date_gmt":"2013-02-18t09:00:26","guid":{"rendered":"\/\/www.catharsisit.com\/sat\/?p=794"},"modified":"2015-04-15t23:27:12","modified_gmt":"2015-04-15t23:27:12","slug":"sat-geometry-angle-diagram-questions","status":"publish","type":"post","link":"\/\/www.catharsisit.com\/hs\/sat\/sat-geometry-angle-diagram-questions\/","title":{"rendered":"sat geometry: angle diagram questions"},"content":{"rendered":"

there will be a number of times on your sat when you\u2019ll be asked to find the measurement of an angle or angles, but you\u2019ll be given a picture with only a bit of information on it.<\/p>\n

in these questions, the sat makers are testing you on your ability to move information around a figure. if you know that one angle is 40\u02da, for example, can you find any other equal angles? any complementary angles (adding to 90\u02da) or supplementary angles (adding to 180\u02da)?<\/p>\n

in order to answer this type of question, you\u2019ll need to know some basic geometry facts.<\/a> some are at the beginning of each math section, and some aren\u2019t.<\/p>\n

 <\/p>\n

fill in every angle you can<\/h2>\n

if you\u2019re asked to find the measurement x<\/i> of an angle, you may not immediately see how to get there. that\u2019s fine. just start putting in the measurements that you do know, and you\u2019ll find that some helpful information starts to pop up. take a look at the example figure below, and see if there\u2019s anything you can add to it.<\/p>\n

\"m<\/i><\/p>\n

\"fiamisg_img1\"<\/a><\/p>\n

knowing a thing or two about triangles and parallel lines makes this a pretty easy figure to work with. from that given 45\u02da angle, we can write in the measurement of its opposite, which is also 45\u02da. or we can move it to the corresponding angle on line n. <\/i>we can write in three other 45\u02da angles altogether.<\/p>\n

if you wanted, you could actually find every angle on here pretty quickly; it\u2019s not necessary to start with the 45\u02da. you could also start from that right triangle, which is a 30\u02da-60\u02da-90\u02da triangle. (by the way, that should set off a little alarm bell in your head\u2014if the question asks about the lengths of any segments, you can definitely use that information).<\/p>\n

by writing the 60\u02da into that angle of the triangle, you\u2019re pretty much there. moving that around to as many places as you can along with using the 45\u02da angle (or it\u2019s supplement, 135\u02da) will bring you to a point where you can say that x <\/i>must be 75\u02da.<\/p>\n

 <\/p>\n

focusing on the goal measurement for the answer<\/h2>\n

if you see relationships that will bring you toward your answer right away, then by all means, don\u2019t waste the time writing in unnecessary angle measurements. but analyzing the figure in your head is sometimes a tough thing to do: writing in the info that you do<\/i> know will direct you toward the path you need to take.<\/p>\n","protected":false},"excerpt":{"rendered":"

there will be a number of times on your sat when you\u2019ll be asked to find the measurement of an angle or angles, but you\u2019ll be given a picture with only a bit of information on it. in these questions, the sat makers are testing you on your ability to move information around a figure. […]<\/p>\n","protected":false},"author":42,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[91],"tags":[9,101,81],"ppma_author":[24883],"acf":[],"yoast_head":"\nsat geometry: angle diagram questions - magoosh blog | high school<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"\/\/www.catharsisit.com\/hs\/sat\/sat-geometry-angle-diagram-questions\/\" \/>\n<meta property=\"og:locale\" content=\"en_us\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"sat geometry: angle diagram questions\" \/>\n<meta property=\"og:description\" content=\"there will be a number of times on your sat when you\u2019ll be asked to find the measurement of an angle or angles, but you\u2019ll be given a picture with only a bit of information on it. in these questions, the sat makers are testing you on your ability to move information around a figure. 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