# 10 Examples of Supplementary Angles

In **mathematics**, two angles are **supplementary** if the sum of their measures equals 180 degrees. Supplementary angles always add up to 180° and are formed when two lines intersect.

In this article, we will discuss ten examples of supplementary angles.

- Examples of Supplementary Angles
- 1: Linear Pair of Angles
- 2: Vertically Opposite Angles
- 3: Alternate Interior Angles
- 4: Corresponding Angles
- 5: Adjacent Complementary Angles
- 6: Angles Formed by Parallel Lines Cut by a Transversal
- 7: Adjacent Angles Around a Point
- 8: Angles in a Triangle
- 9: Base Angles of an Isosceles Triangle
- 10: Same Side Interior Angles

**Examples of Supplementary Angles**

These are 10 examples of supplementary angles:

**1: Linear Pair of Angles**

Adjacent angles formed when two lines intersect are supplementary.

For example, if two lines intersect and form angles of 115° and 65°, they are supplementary because 115° + 65° = 180°.

**2: Vertically Opposite Angles**

Vertically opposite angles formed by two intersecting lines are always supplementary.

For example, if two lines intersect to form angles of 40° and 140°, they are supplementary vertically opposite angles.

**3: Alternate Interior Angles**

Alternate interior angles formed when a transversal line intersects two parallel lines are supplementary angles.

They always add up to 180°.

**4: Corresponding Angles**

Corresponding angles formed by a transversal intersecting parallel lines are supplementary.

They add up to 180° even though they are on different sides of the transversal.

**5: Adjacent Complementary Angles**

Adjacent angles that add up to 90° are complementary.

Two complementary angles that form a right angle are also supplementary (90° + 90° = 180°).

**6: Angles Formed by Parallel Lines Cut by a Transversal**

When a transversal cuts two parallel lines, consecutive interior angles add up to 180°, making them supplementary.

**7: Adjacent Angles Around a Point**

Adjacent angles around a point on a straight line add up to 360°. Adjacent angles that share a common ray are supplementary (180° each).

**8: Angles in a Triangle**

Three angles in a triangle always add up to 180°, so any two angles in a triangle are supplementary angles.

**9: Base Angles of an Isosceles Triangle**

Two base angles in an isosceles triangle have equal measures and add up to 180°, making them supplementary.

**10: Same Side Interior Angles**

Same side interior angles formed between two parallel lines cut by a transversal are supplementary (they add to 180°).

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