The diagram is a polygon. Find the largest of its interior angles.
Question
The diagram is a polygon. Find the largest of its interior angles.
Options
A)
300°
B)
100°
C)
120°
D)
150°
The correct answer is D.
Explanation:
Sum of interior angles = 360°
i.e 3x + 2x + 2x + x + 4x = 360°
12x = 360
x = \(\frac{360}{12}\)
x = 30°
x + c = 180
30° + c = 180
c = 180 - 30
c = 150°
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sum of exterior angles=360
Sum of interior angles = 360°
i.e 3x + 2x + 2x + x + 4x = 360°
12x = 360
x = \(\frac{360}{12}\)
x = 30°
x + c = 180
30° + c = 180
c = 180 - 30
c = 150°