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What is complementary and supplementary angle?

Author

Sarah Duran

Updated on February 20, 2026

Two angles are called complementary when their measures add to 90 degrees. 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 is complement angle?

Definition of complementary angles

mathematics. : two angles that add up to 90 degrees.

What is complementary angle with example?

In geometry, complementary angles are defined as two angles whose sum is 90 degrees. In other words, two angles that add up to 90 degrees are known as complementary angles. For example, 60° and 30°.

What is called supplementary angle?

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°. Similarly, complementary angles add up to 90 degrees.

What is difference between complementary and supplementary?

Two angles are called complementary when their measures add to 90 degrees. 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.

Complementary Angles & Supplementary Angles | Math with Mr. J

What is a supplementary line?

Two Angles are Supplementary when they add up to 180 degrees.

How do you find supplementary angles?

We can calculate supplementary angles by subtracting the given one angle from 180 degrees. To find the other angle, use the following formula: ∠x = 180° – ∠y or ∠y = 180° – ∠x where ∠x or ∠y is the given angle.

What is the complement of 50?

The complement of 50° is the angle that when added to 50° forms a right angle (90° ).

What is the complement of 47?

The angle that is complementary to 47° is 43°.

What is the complement of 30?

The complement of 30° is the angle that when added to 30° forms a right angle (90° ).

What is the complement of 45 degrees?

The complement of 45° is the angle that when added to 45° forms a right angle (90° ).

What is the supplementary angle of 65?

Supplementary angles are those whose sum equals 180°. Let the complement angle of 65° be x. Let the supplement angle of 65° be y. Ans : Complement of 65° is 25° and Supplement is 115°.

What is the supplement of 90?

Answer and Explanation: The supplementary angle of 90° is 90°.

What is the complement of 75?

The complement of 75° is the angle that when added to 75° forms a right angle (90° ).

What is the complement of 25?

Answer and Explanation: If the complement of an angle is 25 degrees, then the measurement of the angle will be 65 degrees. To find the complement of an angle, we subtract the...

How do you teach complementary and supplementary angles?

One way is to remember that C comes before S in the alphabet, so complementary angles are the smaller ones that add to 90 and supplementary are the larger ones that add to 180. Let's look at a few examples involving supplementary angles. We know that supplementary angles always add up to 180 degrees.

Which pair is 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 is conjugate angle?

[ kŏn′jə-gĭt ] Save This Word! Two angles whose sum is 360°.

What is obtuse angle?

Definition of obtuse

1a : not pointed or acute : blunt. b(1) of an angle : exceeding 90 degrees but less than 180 degrees.

What is adjacent angle?

The two angles are said to be adjacent angles when they share the common vertex and side. The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle. Adjacent angles can be a complementary angle or supplementary angle when they share the common vertex and side.

How do you remember supplementary and complementary?

Another way to help students remember the difference between complementary and supplementary angles is this: The “C” in complementary stands for “Corner” like a right angle. The “S” in supplementary stands for “Straight” like a line.

What is the complement of 42?

The complement of 42° is the angle that when added to 42° forms a right angle (90° ).

What is the complement of 70?

The complement of 70° is the angle that when added to 70° forms a right angle (90° ).

What is the supplement of 105 degree?

75° is the supplement of "105".