Question

What is the value of x and how do you know

Answer 1

Explanation:

`180 - 110 = 60 - 2 = 30 \\ so \: x = 30`

Answer 2

x=35°

Explanation:

So first, recall that the interior angles of a triangle must total 180°.

The sum of the angles for the given triangle can be described by:

`110+x+x\\=2x+110`

Since the total must equal 180°, set the expression equal to 180°.

`2x+110=180`

To find the value of x, we just need to solve for x.

To start, subtract 110 from both sides. The 110s on the left cancels:

`(2x+110)-110=(180)-110\\2x=70`

Now, divide both sides by 2. The 2s on the left cancel.

`((2x))/(2)=((70))/(2)\\ x=35 \textdegree`

Therefore, the value of x is 35°.