# 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°`