Subjects geometry

Angle Complement Supplement B64F03

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1. **State the problem:** We need to find the complement and supplement of given angles. 2. **Recall definitions:** - Complement of an angle $\theta$ is $90^\circ - \theta$. - Supplement of an angle $\theta$ is $180^\circ - \theta$. 3. **Calculate the complement of 57°:** $$90^\circ - 57^\circ = 33^\circ$$ 4. **Calculate the supplement of 38°:** $$180^\circ - 38^\circ = 142^\circ$$ 5. **Final answers:** - Complement of 57° is $33^\circ$. - Supplement of 38° is $142^\circ$. These calculations use simple subtraction from the known total degrees for complementary and supplementary angles.