Supplementary, Complementary, and Vertical Angles

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Supplementary angles are those which add to 180°. See the example below:

supplementary,complementary and vertical angles

Complementary angles add to 90°. See the example below:

supplementary, complementary and vertical angles

Vertical angles are opposite to each other.

vertical angles opposite to each other

Example: What is the measure of angle a?

supplementary, complementary and vertical angles

a + 50° = 90° (complementary angles)

a = 90° – 50° = 40°

Example: What is the value of x?

supplementary, complementary and vertical angles

57 = 6x + 3 (Vertical angles)

6x = 57 – 3

6x = 54 implies x = 9

 

Check Point

1. Find the measure of angle b.

supplementary, complementary and vertical angles

2. What is the measure of angle x?

supplementary, complimentary and vertical angles

 3. What is the measure of angle y?

supplementary, complementary and vertical angles

4. Find the value of x.

supplementary, complementary and vertical angles

 5. What is the value of x?

supplementary, complementary and vertical angles
Answer key
  1. 66°
  2. 82°
  3. 82°
  4. 14
  5. 24

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