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

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

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half