lifewonders6301
lifewonders6301 lifewonders6301
  • 19-11-2019
  • Mathematics
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two angles are complementary what is the measure of each angle if the larger is 10° more than the larger angle?

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sqdancefan
sqdancefan sqdancefan
  • 20-11-2019

Answer:

  40° and 50°

Step-by-step explanation:

Let "a" represent the larger angle. Then the smaller one is (a-10) and their sum is ...

  a + (a -10) = 90 . . . . . complementary angles sum to 90°

  2a = 100 . . . . . . . add 10, simplify

  a = 50

  (a-10) = 40

The two angles are 40° and 50°.

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