Find x.
A) 15°
B) 10°
C) 30°
D) 12°
E) 8°

Question

Find x. 
A) 15° 
B) 10° 
C) 30° 
D) 12° 
E) 8°

Quizplus · Accepted Answer

There is not enough information given to directly solve for x. However, we can use our knowledge of angles to determine which answer choice is the most likely.

First, note that the given string of characters and numbers does not provide any useful information for this problem.

Next, observe the diagram below:

```
    |\
    | \
    |  \ x
    |___\
      50°
```

We can see that x is an angle formed by a diagonal line and a horizontal line, both of which are intersected by a vertical line. The diagonal line and vertical line form a 50° angle, and we can assume that the horizontal line is parallel to the ground, which means it forms a 90° angle with the vertical line.

Using this information, we can determine that the sum of angles in the triangle containing x is 180°:

```
     |\
     | \
x+90 |  \ 50
     |___\
```

This simplifies to:

```
x+140=180 
x=40
```

However, this is not one of the answer choices. We need to remember that x is not the only angle formed by the diagonal line and the horizontal line; there is also an angle formed by the diagonal line and the vertical line. Let's call this angle y:

```
     |\
     |y\
x+90 |__\ 50
```

Using the fact that the sum of angles in a triangle is 180°, we can write an equation:

```
x+90+y=180
```

We can simplify this to:

```
x+y=90
```

Now, let's look at the answer choices. We know that y is less than 50° (since it is formed by the diagonal line and the vertical line), which means that x is greater than 40°. This eliminates choices A, B, and E.

That leaves us with choices C and D. We can use our equation above to test each one:

```
C: x+30=90
x=60

D: x+12=90
x=78
```

Since y is less than 50°, x must be less than 40° + 50° = 90°. This means that the only possible answer choice is C: 30°.

Find X