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State whether the statements are True or...

State whether the statements are True or False.
Sum of two supplementary angles is `180^(@)`.

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To determine whether the statement "The sum of two supplementary angles is 180 degrees" is true or false, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Supplementary Angles**: - By definition, two angles are said to be supplementary if their sum is equal to 180 degrees. 2. **Let’s Define the Angles**: - Let one angle be represented as \( x \) degrees. - Let the other angle be represented as \( y \) degrees. 3. **Setting Up the Equation**: - According to the definition of supplementary angles, we can write the equation: \[ x + y = 180 \text{ degrees} \] 4. **Conclusion**: - Since the sum of angles \( x \) and \( y \) equals 180 degrees, we can conclude that the statement "The sum of two supplementary angles is 180 degrees" is indeed true. ### Final Answer: The statement is **True**. ---
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