Mathematics
JAMB 1983
One interior angle of a convex hexagon is 170
o and each of the remaining interior angles is equal to x
o. Find x
-
A.
120o
-
B.
110o
-
C.
105o
-
D.
102o
-
E.
100o
Correct Answer: Option B
Explanation
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
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