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Are Adjacent Angles Supplementary or Complementary?

Elena Rostova • • 5 min read
Are Adjacent Angles Supplementary or Complementary?
You learned that complementary angles are two angles that add up to 90 degrees, supplementary angles are two angles that add up to 180 degrees, vertical angles are opposite angles at an intersection of two straight lines, and adjacent angles are two angles that are next to each other.

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Similarly one may ask, can two adjacent angles be complementary?

Yes, adjacent angles can be complementary. Complementary angles are defined as two acute angles with a sum that is equal to 90°.

Furthermore, what is complementary supplementary and vertical angles? Complementary angles are two angles with a sum of 90º. Supplementary angles are two angles with a sum of 180º. Vertical angles are two angles whose sides form two pairs of opposite rays. We can think of these as opposite angles formed by an X.

Regarding this, what is the difference between adjacent and supplementary angles?

If the two adjacent angles, C and D, add up to 180 degrees they are supplementary angles and each angle is a supplement of the other. If the two adjacent angles, C and D, add up to 180 degrees they are supplementary angles and each angle is a supplement of the other.

How do you find supplementary angles?

Supplementary Angles

  1. Let the measure of one of the supplementary angles be a .
  2. Measure of the other angle is 2 times a .
  3. So, measure of the other angle is 2a .
  4. If the sum of the measures of two angles is 180° , then the angles are supplementary.
  5. So, a+2a=180°
  6. 3a=180°
  7. To isolate a , divide both sides of the equation by 3 .
  8. 3a3=180°3 a=60°
Related Question Answers

How do you find complementary and supplementary angles?

Complementary angles form a right angle (L shape) and have a sum of 90 degrees. Supplementary angles form a straight line and have a sum of 180 degrees. If the relationship is given, you can subtract the given angle from the sum to determine the measure of the missing angle.

Can two obtuse angles be supplementary?

Answer and Explanation:
No, two obtuse angles cannot be supplementary angles. In order for the two obtuse angles to be supplementary, they would have to add up to 180°. Since the sum of two obtuse angles must be greater than 180°, it cannot be equal to 180°.
Elena Rostova
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Elena Rostova

Elena Rostova holds a Master's degree in Public Health Journalism. She covers groundbreaking medical research, holistic wellness trends, mental health awareness, and nutritional science.