The difference of two complementary angles is 40°.

2017

The difference of two complementary angles is 40°.

Answer: C. 25°, 65° — Complementary angles sum to 90°. Let the angles be x and y. We have x + y = 90° and x - y = 40°. Adding the equations gives 2x = 130°, so x = 65°. Then y =…

  1. A.

    65°, 35°

  2. B.

    70°, 30°

  3. C.

    25°, 65°

  4. D.

    70°, 110°

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Correct answer: C

Complementary angles sum to 90°.
Let the angles be x and y.
We have x + y = 90° and x - y = 40°.
Adding the equations gives 2x = 130°, so x = 65°.
Then y = 90° - 65° = 25°.
The angles are 65° and 25°.

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