# Quadrilaterals

## Extra Questions Part 4

Question 6: Find the angle x

Answer: We know that angle sum of a quadrilateral = 360⁰
So, 95° + 115°+ x + x = 360°
Or, 210° + 2x = 360°
Or, 2x = 360°- 210° = 150°
Or, x = 150°÷2 = 75°

Question 7: Find the angle x

Answer: We know that angle sum of a quadrilateral = 360⁰
So, 120°+ x + x + x = 360°
Or, 120°+ 3x = 360°
Or, 3x = 360°- 120° = 240°
Or, x = 240°÷3 = 80°

Question 8: Find the angle x

Answer: We know that angle sum of a quadrilateral = 360⁰
So, 84°+ x + x + x = 360°
Or, 84°+ 3x = 360°
Or, 3x = 360°- 84° = 276°
Or, x = 276°÷3 = 92°

Question 9: Find the angle x

Answer: We know that angle sum of a quadrilateral = 360⁰
So, 90°+ x + x + x = 360°
Or, 90°+ 3x = 360°
Or, 3x = 360°- 90° = 270°
Or, x = 270°÷3 = 90°

Question 10: Find the angle x

Answer: We know that angle sum of a quadrilateral = 360⁰
Or, 4x = 360°
Or, x = 360°÷4 = 90°

Copyright © excellup 2014