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If two angles are not supplementary to the same angle, then they are not congruent to each other. ^^is this statement false? If so, please explain why. Thank you :)

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It's true.
Assuming they mean one of them is supplementary to angle 'X' and the other is not, then the two angles are not congruent. They would only be congruent if they were both supplements of the same angle as supplement means that the total sum of the two angles is 180. So if angle 'X' = 55 degrees, only an angle of value 135 is supplementary to it. So either both equal 55 or they are different.
I meant to say either both equal 135 or they are different.

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so my answer should be: true; because two angles can only be supplementary to the same angle if both angles are congruent to each other. (correct wording?)
thank you :)
No problem :)

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