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**2.6 Proving Angles Congruent**

A theorem - a conjecture or statement that you prove true. Theorem 2.1 – Vertical Angles Theorem Vertical angles are congruent.

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**Using the Vertical Angles Theorem**

What is the value of x? 2x + 21 = 4x 21 = 2x 10.5 = x

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**Congruent Supplements Theorem**

If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent. If and are supplements and and are supplements, then

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**Theorems Theorem 2.3 – Congruent Complements Theorem**

If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent. Theorem 2.4 – All right angles are congruent. Theorem 2.5 – If two angles are congruent and supplementary, then each is a right angle.

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More Practice!!!!! Classwork – p. 124 – 127 #6 – 12, 16, 17, 20 – 22, 26 – 29, 33 – 35 ALL. Homework – Finish classwork.

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