It seems like there might be a typo in your question regarding the sum of the angles, but I believe you meant to say that two angles in a vertical pair add up to 270 degrees.
In a vertical pair, the two angles are equal. Therefore, if we let \( x \) be the measure of each angle, we can set up the equation:
\[ x + x = 270 \]
This simplifies to:
\[ 2x = 270 \]
Now, divide both sides by 2:
\[ x = 135 \]
So, each angle measures 135 degrees.
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