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:
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Sum the known angles: \[ 48° + 42° + 64° = 154° \]
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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, \( x + \text{angle} = 180° \)):
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For \( 48° \): \[ x + 48° = 180° \implies x = 132° \]
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For \( 42° \): \[ x + 42° = 180° \implies x = 138° \]
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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, \( x + \text{angle} = 90° \)):
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For \( 48° \): \[ x + 48° = 90° \implies x = 42° \]
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For \( 42° \): \[ x + 42° = 90° \implies x = 48° \]
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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!