Math  /  Geometry

QuestionSave \& Exit Certify Lesson: 7.4 11.1b Systems of Equations Ap... WILLIAM BURRIS
Question 2 of 10, Step 1 of 1 0/10 Correct 1
Two angles are complementary if the sum of their measures is 9090^{\circ}. Find two complementary angles such that the smaller angle is 5757^{\circ} less than 2 times the larger angle. (Round to two decimal places if necessary.)
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Studdy Solution
Calculate the smaller angle using the larger angle: Smaller angle=2x57 \text{Smaller angle} = 2x - 57^\circ =2(49)57 = 2(49^\circ) - 57^\circ =9857 = 98^\circ - 57^\circ =41 = 41^\circ
The two complementary angles are: - Larger angle: 49 \boxed{49^\circ} - Smaller angle: 41 \boxed{41^\circ}

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