Question

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

Answer 1

Polygons 10 sides,  interior angle = 144°
m<1 = 180 - 144 = 36

answer
36

Answer 2

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