Question

the degree and radian measure of exterior and interior angle of regular 1] pentagon 2]hexagon 3] septagon 4] octagon
plz explain in detail

Answer 1

Answer:

Step-by-step explanation:

Exterior Angle of Pentagon = 360°/5 = 72°  Or  2π/5

Interior Angle Of Pentagon = 180° -  72° = 108° or π - 2π/5 = 3π/5

Exterior Angle of Hexagon = 360°/6 = 60°  Or  2π/6 = π/3

Interior Angle Of Hexagon = 180° -  60° = 120° or π - π/3 = 2π/3

Exterior Angle of Septagon = 360°/7 °  Or  2π/7

Interior Angle Of Septagon = 180° -  360°/7 = 900/7° or π - 2π/7 = 5π/7

Exterior Angle of octagon = 360°/8 = 45°  Or  2π/8 = π/4

Interior Angle Of octagon = 180° -  45° = 135° or π - π/4 = 3π/4