Question

What is the value of x and how do you know

Answer 1

Answer:

x=35°

Step-by-step 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.

$\frac{(2x)}{2}=\frac{(70)}{2}\\ x=35 \textdegree$

Therefore, the value of x is 35°.

Answer 2

Step-by-step explanation:

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