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Find the angle which is equal to its sup...

Find the angle which is equal to its supplement

A

`90^@`

B

`135^@`

C

`180^@`

D

`120^@`

Text Solution

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The correct Answer is:
To find the angle which is equal to its supplement, we can follow these steps: ### Step-by-Step Solution: 1. **Understand Supplementary Angles**: Supplementary angles are two angles whose sum is equal to 180 degrees. 2. **Let the Angle be x**: We will denote the angle we are trying to find as \( x \). 3. **Set Up the Equation**: Since the angle is equal to its supplement, we can express this relationship as: \[ x + x = 180 \] This simplifies to: \[ 2x = 180 \] 4. **Solve for x**: To find the value of \( x \), we divide both sides of the equation by 2: \[ x = \frac{180}{2} \] 5. **Calculate the Value**: Performing the division gives us: \[ x = 90 \] 6. **Conclusion**: Therefore, the angle which is equal to its supplement is \( 90 \) degrees.

To find the angle which is equal to its supplement, we can follow these steps: ### Step-by-Step Solution: 1. **Understand Supplementary Angles**: Supplementary angles are two angles whose sum is equal to 180 degrees. 2. **Let the Angle be x**: We will denote the angle we are trying to find as \( x \). ...
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Knowledge Check

  • Find the angle which is double of its supplement

    A
    `40^(@)`
    B
    `120^(@)`
    C
    `160^(@)`
    D
    `180^(@)`
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