Question

choose the correct words to fill in the blanks below.
even sum consecutive integers

1. integers are integers that are next to each other on the number line.
2. two consecutive integers would be given by ( x ) and ( x + 2 ).
3. two consecutive could be given by ( x ) and ( x + 1 ).
4. in any triangle, the of the interior angles is ( 180^{circ} ), and written by ( a + b + c = 180^{circ} ).

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Explanation:

1. "Consecutive" means following one after another without interruption. So, consecutive integers are next to each other on the number line.
2. For even integers, the difference between consecutive even integers is \(2\) (e.g., \(2\) and \(4\), \(x\) and \(x + 2\)).
3. Integers are whole numbers. Consecutive integers (like \(3\) and \(4\)) have a difference of \(1\), so they can be represented as \(x\) and \(x+1\).
4. The sum of the interior angles of a triangle is a well - known geometric property. "Sum" means the result of adding numbers together, and \(A + B + C\) is the addition of the angles, so we use "sum".

Answer:

1. Consecutive
2. even
3. integers
4. sum