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Answer» 36°Step-by-step explanation:Given :- A = a, B = 2A, C = 3a, D = 4a ,E = 5aTo FIND:-Value of 'a'Solution:-As we know, sum of all the interior angles of a pentagon is 540°. A+B+C+D+E=540° a + 2a + 3a + 4a + 5a = 540° 15a = 540° a = a = 36°Therefore,A = a = 36°B = 2a = 72°C = 3a = 108°D = 4a = 144°E = 5a = 180°___________________________________Know More:-Pentagon is a five-sided polygon.A regular, self intersecting pentagon is CALLED as a Pentagram.All the interior angles of a pentagon adds upto 540°. |
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