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Rule

Angle Addition Postulate

Two angles that have the same vertex and are side by side form a new angle that measures the sum of the two side by side angles.

angles alpha and theta side by side making angle omega

In the above case, the measure of

ω

can be found by adding the measures of

α

and

θ .

m ∠ ω = m ∠ α + m ∠ θ

This postulate is accepted without a proof.

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