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

Accepted Solution

Answer:36Step-by-step explanation:In any n sided polygon the sum of interior angles would be(2n-4)90 degreesThere will be n exterior anglesThe 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 = 360IN 10 sided polygon, i.e. decagon, sum of exterior angles =360Hence each exterior angle = angle 1 = 360/10 = 36