Quadrilaterals

Extra Questions Part 3

Question 1: Find the angle y

Answer: We know that angle sum of a quadrilateral = 360⁰
So, `85° + 95° + 100° + y = 360°`
Or, `280° + y = 360°`
Or, `y = 360°- 280° = 80°`

Question 2: Find the angle x

Answer: We know that angle sum of a quadrilateral = 360⁰
So, `95°+ 75°+ 110°+ x = 360°`
Or, `280°+ x = 360°`
Or, `x = 360°- 280°= 80°`

Question 3: Find the angle x

Answer: We know that angle sum of a quadrilateral = 360⁰
So, `65° + 120° + 90°+ x = 360°`
Or, `275° + x = 360°`
Or, `x = 360° - 275°= 85°`

Question 4: Find the angle x

Answer: We know that angle sum of a quadrilateral = 360⁰
So, `65°+ 70°+ 120°+ x = 360°`
Or, `255° + x = 360°`
Or, `x = 360°- 255°= 105°`

Question 5: Find the angle x

Answer: We know that angle sum of a quadrilateral = 360⁰
Or, `185°+ 2x = 360°`
Or, `2x = 360°- 185°= 175°`
Or, `x = 175°÷2 = 87.5°`