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Notes – Lesson 2.5 Geometry Name ______________________________________ Theorem???: _____________________________________________ Vertical Angles Theorem. _______________________________________________________ (Picture) __________ and __________ Congruent Supplements Theorem. ________________________________________________________________ ________________________________________________________________ Given: 1 and 2 are supplementary. 3 and 2 are supplementary. Proof. What do we know about 1 and 2? _______________________________ What do we know about 3 and 2? ________________________________ So now we can say _____________________ = ________________________ by substitution. What happens if we subtract 2 from both sides of the equation, what are we left with? ___________________________ What conclusion can we make? If two angles are _____________________ of the _______________ angle, then the two angles are ____________________________. This is the ________________________________________________ Theorem. Congruent Complements Theorems: 2.3 ________________________________________________________________ ____________________________________________________________________ 2.4 ________________________________________________________________ ____________________________________________________________________ 2.5 ________________________________________________________________ ____________________________________________________________________ Find the value of each variable. 1. 2. 4. 5. 3.