JAMB - Mathematics (1983 - No. 29)
One interior angle of a convex hexagon is 170o and each of the remaining interior angles is equal to xo. Find x
120o
110o
105o
102o
100o
Açıklama
An hexagon polygon is a six sided polygon
n = 6
sum of all interior angles of hexagon polygon will be (2n - 4) x 90o
= [2 x 6 - 4] x 90
= 720o
If one angle is 170o and each of the remaining five angles is 5xo
5xo + 170o = 720o
= 5x + 550
x = \(\frac{550}{5}\)
= 110o
n = 6
sum of all interior angles of hexagon polygon will be (2n - 4) x 90o
= [2 x 6 - 4] x 90
= 720o
If one angle is 170o and each of the remaining five angles is 5xo
5xo + 170o = 720o
= 5x + 550
x = \(\frac{550}{5}\)
= 110o