2. In three distinct regular polygons, it is known that the - TopicsExpress

2. In three distinct regular polygons, it is known that the measure of the internal angle of one regular polygon exceeds the measure of the internal angle of the other two regular polygons by 15° and 27° respectively. Furthermore, the sum of the measures of the external angles of all the three regular polygons is 177°. What is the sum of the number of sides of all these three regular polygons ? (a) 17 (b) 18 (c) 19 (d) 20

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