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tell whether each pair od angle measurements are complementary,supplementary or neither
1. 36°,24°
2. 147°,33°
3. 18°,72°
4. 51°,39°
5. 67°,105°
6. 96°,84°​


Sagot :

[tex]\large\mathcal{Answers:}[/tex]

1. Neither

2. Supplementary

3. Complementary

4. Complementary

5. Neither

6. Supplementary

[tex]\large\mathcal{Explanation:}[/tex]

  • To identify whether the given angle measurements are complementary, supplementary or neither, add the given angle measurements.
  • If the sum is 90°, then the angle measurements are complementary.
  • If the sum is 180°, the angle measurements are supplementary.
  • If the sum is not 90° and 180°, then the angle measurements are not complementary and supplementary. They are neither.

1.

  • Get the sum of 36° and 24°.
  • 36° + 24° = 60°
  • 36° and 24° are not complementary and supplementary.

2.

  • Get the sum of 147° and 33°.
  • 147° + 33° = 180°
  • 147° and 33° are supplementary.

3.

  • Get the sum of 18° and 72°.
  • 18° + 72° = 90°
  • 18° and 72° are complementary.

4.

  • Get the sum of 51° and 39°.
  • 51° + 39° = 90°
  • 51° and 39° are complementary.

5.

  • Get the sum of 67° and 105°.
  • 67° + 105° = 172°
  • 67° and 105° are not complementary and supplementary.

6.

  • Get the sum of 96° and 84°.
  • 96° + 84° = 180°
  • 96° and 84° are supplementary.

So that's how to tell whether each pair of angle measurements are complementary, supplementary or neither.

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