How do you find the measure of a supplementary angle?

How do you find the measure of a supplementary angle?

How to 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 are the measure of two supplementary angles if one is three times as large as the other?

the greater of the two angles is 135°.

What are 3 sets of supplementary angles?

Some of the examples of supplementary angles are:

  • 120° + 60° = 180°
  • 90° + 90° = 180°
  • 140° + 40° = 180°
  • 96° + 84° = 180°
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Which pair of angles are supplementary of the following?

108° + 72°= 180°. Hence, the given pair of angles are supplementary angles.

What is the measure of 1 in degrees?

A measure of one degree ( 1° ) is equivalent to a rotation of 1360 of a complete revolution. To measure angles, it is convenient to mark degrees on the circumference of a circle . Thus, a complete revolution is 360° , half a revolution is 180° , a quarter of a revolution is 90° and so forth.

Which angles are supplementary to ∠ 4?

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 the supplement of a 16 degree angle?

The supplement of 16 is the angle that when added to 16 forms a straight angle (180° ).

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What angles are supplementary to 7?

∠8 and ∠7 are a linear pair; they are supplementary. Their measures add up to 180°. Therefore, ∠7 = 180° – 53° = 127°. 1.

Which of the following pairs of angles are supplementary 48 42?

Correct answer is (c) 75°, 105°.

What does it mean when 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°.

What is the meaning of supplementary in math?

Definition. In Maths, the meaning of supplementary is related to angles that make a straight angle together. 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.

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What is the proof of the supplementary angle theorem?

The supplementary angle theorem states that if two angles are supplementary to the same angle, then the two angles are said to be congruent. Proof: If ∠x and ∠y are two different angles that are supplementary to a third angle ∠z, such that,

What happens when you add two acute angles?

If you add two acute angles in which each angle is large as possible, its sum will be less than 180°. By the definition of supplementary angles, it is impossible to get the supplementary angle when we add two acute angles.