Quadrilaterals

Extra Questions Part 6

Question 6: Find the angle x

Class 8 math Quadrilaterals additional question26

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

Class 8 math Quadrilaterals additional question27

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

Class 8 math Quadrilaterals additional question28

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

Class 8 math Quadrilaterals additional question29

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

Class 8 math Quadrilaterals additional question30

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



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