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Two angles are supplementary (their sum is 180o). If one is doubled, the result is 69o less than the other angle. Find the other angles. Solution:

Let $$A$$ and $$B$$ be the supplementary angles.

$$A+B = 180$$

$$2A = B-69$$

$$B = 2A +69$$

$$A + 2A +69 = 180$$

$$3A + 69 = 180$$

$$A = 37^o$$

$$B = 143^o$$