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Simora [160]
3 years ago
14

In the regular decagon shown, what is the measure of angle 1?

Mathematics
2 answers:
Vadim26 [7]3 years ago
8 0
Polygons 10 sides,  interior angle = <span>144°
m<1 = 180 - 144 = 36

answer
36</span>
Mars2501 [29]3 years ago
4 0

Answer:

36

Step-by-step explanation:

In any n sided polygon the sum of interior angles would be

(2n-4)90 degrees

There will be n exterior angles

The sum of interior and exterior would be

=180 n (by linear pair postulate)

Hence sum of exterior angles = (2n-4)90- 180 n=360

Hence in any polygon sum of exterior angles = 360

IN 10 sided polygon, i.e. decagon, sum of exterior angles =360

Hence each exterior angle = angle 1 = 360/10 = 36

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