Question

Can someone plz help me with the first one also it will be appreciated if u could show working out too!

Answer 1

Angles in a quadrilateral add up to 360°.

`90 + 3x + x + 20 + 2x + 10 = 360\\ 90 + 20 + 10 + 3x + x + 2x = 330\\ 120 + 6x = 360 \\ 6x = 360 - 120 \\ 6x = 240 \\ x = (240)/(6) \\ x = 40`

`3x = 3 * 40 = 120 \\`

`x + 20 = 40 + 20 = 60`

`2x + 10 = 2 * 40 + 10 = 80 + 10 = 90`

Difference between largest & smallest angles =

`120 - 60 \\ = 60`

60 is the difference the largest & the smallest angle.