Answer :
9 sides
Explanation:
Step 1
Since the interior angle is 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.
Step 2
Method 2: Since the exterior angle is 140°
The sum of the interior angles = (2n - 4) × right angles.
So 140n =(2n - 4) ×right angles, or we can also say
140n =(2n - 4) × 90
140n = 180n - 360
40n = 360
Divide both sides of the equation by 40
n = 9 sides.
n = 9 sides.Hence the number of sides is 9 sides.
