Question

Find the value of x.
1. x, 2. 48°, 3. 42°, and 4. 64°
/_x = [?]°

Answer 1

To solve for \( x \), we need to determine how \( x \) relates to the given angles: 48°, 42°, and 64°. Without a specific context or equation (like a triangle or a corresponding angle relationship), I will provide typical scenarios where you might find such values.

### Assuming these angles are part of a triangle:

A triangle’s interior angles sum to 180°. Therefore, if \( x \) is the fourth angle of a quadrilateral or a related triangle calculation, you may calculate as follows:

1. Sum the known angles:
\[
48° + 42° + 64° = 154°
\]

2. Subtract this sum from 180° to find \( x \):
\[
x = 180° - 154° = 26°
\]

### If it’s a supplementary angle:
If \( x \) is supplementary to one of the angles (that is, \( x + \text{angle} = 180° \)):

- For \( 48° \):
\[
x + 48° = 180° \implies x = 132°
\]

- For \( 42° \):
\[
x + 42° = 180° \implies x = 138°
\]

- For \( 64° \):
\[
x + 64° = 180° \implies x = 116°
\]

### If \( x \) is the remaining angle in a complementary situation:
If \( x \) is meant to be complementary (that is, \( x + \text{angle} = 90° \)):

- For \( 48° \):
\[
x + 48° = 90° \implies x = 42°
\]

- For \( 42° \):
\[
x + 42° = 90° \implies x = 48°
\]

- For \( 64° \):
\[
x + 64° = 90° \implies x = 26°
\]

To give you an exact answer, it would be essential to know the relationship among the angles involved. With the information provided, \( x \) could vary based on the calculation context. From one of the standard cases, \( x \) could likely be 26°, 132°, 138°, or 116°, depending on your scenario. If you clarify the problem setup, I can give you a more precise answer!