# Quadrilaterals

## 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°`