A good definition for supplemental angles is that they are adjacent angles which sum 180°. In other words, they form a straight angle.
If we have supplemental angles and we move the central line that divides the angles, the total sum will be still 180° because they are supplementary.
So, we can conclude that two supplementary angles always sum 180°, no matter if one angle is 10° and the other 170°, they will always be on a straight angle which sums 180°.
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