Question

The angles of a quadrilateral are: `(x+10)°," "2y°," "90°and(100-y)°.` How do I find `y` in terms of `x`?

Answer 1

`y = 160°-x°`

Explanation:

The sum of the angles in any quadrilateral is always `360°`

We can write this as an equation using the size of the four angles given:

`x°+10°+2y° +90° +100°-y° = 360°`

There are two variables so it is not possible to find a unique number answer.

To solve for `y` "in terms of " `x`, means there will be a `x` term in your answer.

`x°+y°+200° = 360°`

`y = 360°-200°-x°`

`y = 160°-x°`