ASHpal0706 ASHpal0706
  • 16-11-2021
  • Mathematics
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The ratio of the measures of two complementary angles is 7:8.
What is the measure of the each angles?

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sqdancefan
sqdancefan sqdancefan
  • 18-11-2021

9514 1404 393

Answer:

  42°, 48°

Step-by-step explanation:

Complementary angles have a total of 90°. The total of the ratio units is ...

  7 +8 = 15

so each ratio unit stands for an angle measure of 90°/15 = 6°.

The ratio of angle measures is ...

  6°×7 : 6°×8 = 42° : 48°

The smaller angle is 42°; the larger one is 48°.

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