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Writing Proofs
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Basic Postulates (2)

The next postulate is an immediate application of the Angle Addition Postulate. If you add the measures of two angles forming a linear pair, the sum is always 180°.

Postulate 10. Linear Pair Postulate
If two angles form a linear pair, then they are supplementary.

Refer to the following figure:

By the linear pair postulate, mPIA+mAIR=180.