Answer :
Final answer:
As the pairs of angles (3x + 5) degrees and (7x - 5) degrees are complementary, we can set up an equation and solve for 'x'. By cross-referencing the options given, the pair of angles that sum to 90 degrees are 30 degrees and 60 degrees. The correct option is (C) 30 degrees and 60 degrees.
Explanation:
In the field of mathematics, complementary angles are defined as pairs of angles that add up to 90 degrees. Given that (3x + 5) degrees and (7x - 5) degrees are complementary angles, the sum of these two expressions would be equal to 90 degrees.
Therefore, we can write the equation as: 3x + 5 + 7x - 5 = 90. Solving the equation will give you the value of 'x'. After finding the value of 'x', substitute it into both expressions to find the values of the angles.
According to your multiple choices, we can rule out options (A), (B), (D), and (E) because the sum of the angles listed is not equal to 90 degrees. The only option left that adds up to 90 degrees is (C) 30 degrees and 60 degrees, which are the greatest complementary angles.
Learn more about Complementary Angles here: brainly.com/question/12705121
#SPJ11
