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miv72 [106K]
3 years ago
5

Need help with these two question!!??

Mathematics
1 answer:
lawyer [7]3 years ago
6 0

The measure of x in both parts is: 120°

Step-by-step explanation:

Part A:

We can clearly see that the figure in part a has six equal sides. So the given figure is a hexagon.

A hexagon has six equal sides in six equal interior angles.

Sum of interior angles of hexagon is 720°

So,

Measure\ of\ one\ agnle=\frac{Sum\ of\ interior\ angles}{number\ of\ angles}\\=\frac{720}{6}\\=120

Part B:

The figure is a Dodecagon with 12 sides.

The Dodecagon has 12 equal sides and angles.

The sum of internal angles of Dodecagon is 1440°

So,

Measure\ of\ one\ angle=\frac{Sum\ of\ angles}{Number\ of\ angles}\\=\frac{1440}{12}\\=120

The measure of x in both parts is: 120°

Keywords: Polygons, Hexagon

Learn more about polygons at:

  • brainly.com/question/8358304
  • brainly.com/question/8540796

#LearnwithBrainly

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