# Can complementary angles be supplementary?

## Can complementary angles be supplementary?

Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent (sharing a vertex and side, or next to), but they can be. The same is true for complementary angles.

Can a supplementary angle be one angle?

A supplementary angle can be composed of one acute angle and another obtuse angle. Illustration: ∠ θ and ∠ β are supplementary angles because they add up to 180 degrees. On the other hand, an obtuse angle is an angle whose measure of degree is more than 90 degrees but less than 180 degrees.

Are right angles supplementary or complementary?

In a right angled triangle, the two non-right angles are complementary, because in a triangle the three angles add to 180°, and 90° has already been taken by the right angle. When two angles add to 90°, we say they “Complement” each other. because the right angle is thought of as being a complete angle.

### What is a supplementary angle example?

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary.

Which pair of angles are supplementary?

Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠1 and ∠2 in the figure below, are always supplementary. But, two angles need not be adjacent to be supplementary. In the next figure, ∠3 and ∠4 are supplementary, because their measures add to 180° .

What does a supplementary angle look like?

#### What pairs of angles are supplementary?

Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠1 and ∠2 in the figure below, are always supplementary.

How do you know if an angle is supplementary?

Two angles are called supplementary when their measures add up to 180 degrees. One way to avoid mixing up these definitions is to note that s comes after c in the alphabet, and 180 is greater than 90.

What are 2 examples of supplementary angles?

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°….Some of the examples of supplementary angles are:

• 120° + 60° = 180°
• 90° + 90° = 180°
• 140° + 40° = 180°
• 96° + 84° = 180°

## Which pair of angles is not supplementary?

Answer: 2) 135° and 45° are supplementary angles. 3) 50° and 140° are not supplementary angles because their sum is not equal to 180 degree.

How do you calculate supplementary angles?

Supplementary Angles. Two angles are supplementary if the sum of their angles equals 180 o. If one angle is known, its supplementary angle can be found by subtracting the measure of its angle from 180 o.

What is the formula for Complementary angles?

Complementary angle = angle a + angle b = 90 degree. If the sum of two adjacent angles is 90 degrees, then they are called as complementary angles.

### How to prove two angles are supplementary?

It means, two angles are said to be supplementary angles when they add up to 180 degrees . Two angles are supplementary, if One of its angles is an acute angle and another angle is an obtuse angle. Both of the angles are right angles. This means that ∠A + ∠B = 180°.

How do you solve complementary angles?

To find the complement of an angle, subtract that angle’s measurement from 90 degrees. The result will be the complement. Subtract the measurement of the first angle from 90 degrees. The result is the measure of the complementary angle.