Question 1 [1 mark]
55°
Mark scheme
- A [1] — cao 55°
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55°
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20
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90°
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9
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25
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105°
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20
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20
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70°
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60°
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75°
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60°
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120°
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52.5°
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60°
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12
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150°
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72°, 108°, 108°
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25
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50°, 75°, 55°
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360°
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110°
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Let the polygon have n sides.
Exterior angle = 360n (degrees).
Interior angle = (n - 2) * 180n (degrees).
Given: interior angle = 8 * exterior angle
(n - 2) * 180n = 8 * 360n
Multiply both sides by n: (n - 2) * 180 = 2880
n - 2 = 16
n = 18
The polygon has 18 sides.
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26
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12
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150°
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20
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50°
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15
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42.5°, 52.5°, 85°
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