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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.

### Options

A) 300o

B) 100o

C) 120o

D) 150o

The correct answer is D.

### Explanation:

Sum of interior angles = 3602

i.e 3x + 2x + 2x + x + 4x = 360o

12x = 360

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

x = 30o

x + c = 180

30o + c = 180

c = 180 - 30

c = 150o

## Dicussion (1)

• Sum of interior angles = 3602

i.e 3x + 2x + 2x + x + 4x = 360o

12x = 360

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

x = 30o

x + c = 180

30o + c = 180

c = 180 - 30

c = 150o

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