The angles of a polygon are x, 2x, 2x, (x + \(30^o\)), (x + \(20^o\))
MATHEMATICS
WAEC 2018
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. \(45^o\)
- B. \(95^o\)
- C. \(84^o\)
- D. \(85^o\)
Correct Answer: D. \(85^o\)
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\(^o\)
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