## Extra Questions Part 6

Question 6: Find the angle x

Answer: We know that angle sum of pentagon = 540⁰
So, 115° + 115° + 90° + x + x = 540°
Or, 320° + 2x = 540°
Or, 2x = 540° - 320° = 220°
Or, x = 220°÷2 = 110°

Question 7: Find the angle x

Answer: We know that angle sum of pentagon = 540⁰
So, 120° + 90°+ x + x + x = 540°
Or, 210°+ 3x = 540°
Or, 3x = 540°- 210°= 330°
Or, x = 330°÷3 = 110°

Question 8: Find the angle x

Answer: We know that angle sum of pentagon = 540⁰
So, 90° + x + x + x + x = 540°
Or, 90°+ 4x = 540°
Or, 4x = 540° - 90° = 450°
Or, x = 450°÷4 = 112.5°

Question 9: Find the angle x

Answer: We know that angle sum of pentagon = 540⁰
So, 120°+ x + x + x + x = 540°
Or, 120° + 4x = 540°
Or, 4x = 540°-120°= 420°
Or, x = 420°÷4 = 105°

Question 10: Find the angle x

Answer: We know that angle sum of pentagon = 540⁰
So, x + x + x + x + x = 540°
Or, 5x = 540°
x = 540°÷5 = 108°