Question

in a quadrilateral the angles are degree x plus 10 degree x plus 20 degree and c plus 30 degree find angles​

Answer 1

`75; 85; 95; 105`

Explanation:

Given

`Angles: x, x + 10, x + 20, x + 30`

Required

Find the angles

Angles in a
`quadrilateral \add\ up\ to\ 360`

So:

`x+ x + 10+ x + 20+ x + 30 = 360`

Collect like terms

`x+ x + x + x = 360 - 10 - 20 - 30`

`4x = 300`

Solve for x

`x = (300)/(4)`

`x = 75`

So, the angles are:

`x = 75`

`x +10= 75 + 10 = 85`

`x +20= 75 + 20 = 95`

`x +30= 75 + 30 = 105`