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Answer:
81°
Step-by-step explanation:
Angles in a linear pair are supplementary. That means their total is 180°.
9x° +11x° = 180°
x = 180/20 = 9
Then the smaller angle is ...
9x° = 9·9° = 81° . . . . measure of the smaller angle
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Additional comment
The larger angle will be 11·9° = 99°.