A POLYGON HAS N SIDES. THREE OF ITS EXTERIOR ANGLES ARE 70°, 25° AND 15° WHILE THE REMAINING (N-3) EXTERIOR ANGLES ARE EACH EQUAL TO 50°. FIND N.
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- A polygon has n sides.There of its exterior angles are 70 degree, 25 degree, 15 degree while the remaining (n-3) exterior angles are each equal to 50 degree.Find n.
Answer:
Sum of the exterior angles is always 360.
Equatiion:
(n-3)50+70+25+15 = 360
(n-3)50+110 = 360
(n-3)= 250/50 = 5
n = 8
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