# 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 180Â° and are formed when two lines intersect.

In this article, we will discuss ten examples of supplementary 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 115Â° and 65Â°, they are supplementary because 115Â° + 65Â° = 180Â°.

**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 40Â° and 140Â°, 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 180Â°.

**4: Corresponding Angles**

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

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

**5: Adjacent Complementary Angles**

Adjacent angles that add up to 90Â° are complementary.

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

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

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

**7: Adjacent Angles Around a Point**

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

**8: Angles in a Triangle**

Three angles in a triangle always add up to 180Â°, 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 180Â°, 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 180Â°).

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