Answer:
140 degrees.
Step-by-step explanation:
Since the angles are in a regular nonagon they are equal in measure.
9x + 5 = 11x - 25
5 + 25 = 11x - 9x
2x = 30
x = 15.
So the angle of a nonagon is 9(15) + 5
= 140 degrees.
Answer:
140°
Step-by-step explanation:
The interior angles of a regular nonagon are equal.
Equate the 2 given angles and solve for x
11x - 25 = 9x + 5 ( subtract 9x from both sides )
2x - 25 = 5 ( add 25 to both sides )
2x = 30 ( divide both sides by 2 )
x = 15
Substitute this value into one of the given angles
9x + 5 = (9 × 15) + 5 = 135 + 5 = 140
Thus the interior angle has a measure = 140°
