Question

The answer is not A or B

Answer 1

C) 4

Explanation:

Arcs on one side of the diameter adds upto 180°.

Therefore,

`(2 + 17x) \degree + 54 \degree + 56 \degree = 180 \degree \\ \\ (2 + 17x) \degree + 110 \degree = 180 \degree \\ \\ (2+ 17x) \degree = 180 \degree - 110 \degree\\ \\ (2 + 17x) \degree = 70 \degree \\ \\ 2 + 17x = 70 \\ 17x = 70 - 2 \\ \\ x = (68)/(17) \\ \\ x = 4`

Answer 2

Choice C) 4

Explanation:

You can do this in multiple different ways but I will do it in the way I believe will be the fastest.

So since we already know everything on one side of the line, we can use that to find x. The line is 180° and since the angles are on the line we know that they will all add up to 180.

For this we will need an equation:

`2+17x+54+56=180`

Now we add the like terms:

`112+17x=180`

Subtract the 112 on both sides:

`17x=68`

Divide the 17 on both sides:

`x=4`