**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°