The angles of a polygon are x, 2x, 2x, (x + (30^o)), (x + (20^o)) and (x – (10^o)). Find the value of x
-
A.
(45^o) -
A.
(95^o) -
B.
(84^o) -
C.
(85^o)
Correct Answer: Option C
Explanation
x + 2x + 2x + (x + (30^o)) + (x + (20^o)) + (x – (10^o)) = (2n – 4) x (90^o)
8x + 50 (^o) – 10(^o) = (2 x 6 -4) x 90(^o)
8x + 40(^o) = 8 x 90(^o) = 720(^o)
8x = 720(^o) – 40(^o) = 680(^o)
x = (frac{680^o}{8})
= 85(^o)