# Quadrilaterals

## Extra Questions Part 5

Question 1: Find the angle x

Answer: We know that angle sum of pentagon = 540⁰
So, 110° + 90° + 120° + 85°+ x = 540°
Or, 405° + x = 540°
Or, x = 540° - 405° = 135°

Question 2: Find the angle x

Answer: We know that angle sum of pentagon = 540⁰
So, 120°+ 90°+ 135°+ 98°+ x = 540°
Or, 443° + x = 540°
Or, x = 540°- 443°= 97°

Question 3: Find the angle x

Answer: We know that angle sum of pentagon = 540⁰
So, 125°+ 87° + 115°+ 105°+ x = 540°
Or, 432° + x = 540°
Or, x = 540° - 432°= 108°

Question 4: Find the angle x

Answer: We know that angle sum of pentagon = 540⁰
So, 125°+ 87°+ 110° + x + x = 540°
Or, 322° + 2x = 540°
Or, 2x = 540° - 322° = 218°
Or, x = 218°÷2 = 109°

Question 5: Find the angle x

Answer: We know that angle sum of pentagon = 540⁰
So, 125° + 90° + 105°+ x + x = 540°
Or, 320° + 2x = 540°
Or, 2x = 540° - 320°= 220°
Or, x = 220°÷2 = 110°

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