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The difference between two complementary angles is 40°. Find the angles.

  • A.65°, 25°
  • B.70°, 30°
  • C.75°, 35°
  • D.80°, 40°

Answer: A

Let the angles be x and y. Since they are complementary, x + y = 90°.

Their difference is x - y = 40°.

Adding the two equations: 2x = 130° => x = 65°.

Substituting x=65° into the first equation: 65° + y = 90° => y = 25°.

The angles are 65° and 25°.

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