1. **State the problem:** Find the measure of angle A if five times the complement of angle A is 150° greater than the supplement of angle A. 2. **Recall definitions:** - Complement of angle A is $90^\circ - A$ - Supplement of angle A is $180^\circ - A$ 3. **Set up the equation:** Five times the complement equals the supplement plus 150: $$5(90 - A) = (180 - A) + 150$$ 4. **Expand and simplify:** $$450 - 5A = 180 - A + 150$$ $$450 - 5A = 330 - A$$ 5. **Bring all terms involving A to one side:** $$450 - 5A + A = 330$$ $$450 - 4A = 330$$ 6. **Isolate A:** $$-4A = 330 - 450$$ $$-4A = -120$$ 7. **Divide both sides by -4:** $$A = \frac{-120}{\cancel{-4}} \cancel{-} = 30$$ 8. **Final answer:** The measure of angle A is $30^\circ$.