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# 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.

A)
300°
B)
100°
C)
120°
D)
150°

### 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°

## Discussion (2)

• sum of exterior angles=360

x = $$\frac{360}{12}$$