Numerical answer
Each interior angle of a regular polygon is 156°. How many diagonals does the polygon have?
Show answer and solution
Answer: 90
Exterior angle = 180° − 156° = 24°. Number of sides n = 360°/24° = 15.
Number of diagonals = n(n − 3)/2 = 15 × 12/2 = 90.
Tip: Always go through the exterior angle — it gives n in one division.
Number of diagonals = n(n − 3)/2 = 15 × 12/2 = 90.
Tip: Always go through the exterior angle — it gives n in one division.
Saved on this device. Sign in or create a free account to keep it on every device.