Supplementary, Complementary, and Vertical Angles

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

Download Worksheet - Supplementary & Vertical Angles

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

Vertical angles are opposite to each other.

Example: What is the measure of angle a?

a + 50° = 90° (complementary angles)

a = 90° – 50° = 40°

Example: What is the value of x?

57 = 6x + 3 (Vertical angles)

6x = 57 – 3

6x = 54 implies x = 9

Check Point

1. Find the measure of angle b.

2. What is the measure of angle x?

supplementary, complimentary and vertical angles

3. What is the measure of angle y?

4. Find the value of x.

5. What is the value of x?

Answer key

66°
82°
82°
14
24

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