Readers ask: What does supplementary mean in math?

What are 2 examples of supplementary angles?

Two Angles are Supplementary when they add up to 180 degrees. They don’t have to be next to each other, just so long as the total is 180 degrees. Examples: 60° and 120° are supplementary angles.

What is supplementary angle?

: two angles or arcs whose sum is 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.

Can 3 angles be supplementary?

Notice the only sets that sum to 180° are the first, fifth, sixth and eighth pairs. The third set has three angles that sum to 180°; three angles cannot be supplementary.

Can two angles be supplementary Both of them are?

Thus, the two acute angles cannot be supplementary angles. Thus, the two obtuses angles cannot be supplementary angles. Thus, two right angles are supplementary angles.

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How do you know if its complementary or supplementary?

A complementary angle is an angle that adds up to 90 degrees. supplementary angles add up to 180 degrees. So a supplementary angle lies on a single, straight line, and a complementary angle is a right angle.

Which pair of angles must be supplementary?

Two Angles are Supplementary when they add up to 180 degrees. You didnt add a picture but choose the angles that create a straight line, kind of like if you were doing a puzzle.

What is a requirement of supplementary angles?

Supplementary angles are 2 angles that have the sum of 180 degrees. Therefore, the requirement of supplementary angles is to have the 2 angles to equal 180 degrees.

How do you solve supplementary and complementary angles?

To determine the supplement, subtract the given angle from 180. 180 – 43 = 137° The supplement of 43° is 137°. To determine the complement, subtract the given angle from 90. 90 – 43 = 47° The complement of 43° is 47°.

What is the supplementary angle of 50?

The supplement of 50° is the angle that when added to 50° forms a straight angle (180° ).

How do you solve supplementary?

Supplementary Angles

  1. Let the measure of one of the supplementary angles be a.
  2. Measure of the other angle is 2 times a.
  3. So, measure of the other angle is 2a.
  4. If the sum of the measures of two angles is 180°, then the angles are supplementary.
  5. So, a+2a=180°
  6. 3a=180°
  7. To isolate a, divide both sides of the equation by 3.
  8. 3a3=180°3 a=60°
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What’s the difference between congruent and supplementary angles?

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Two angles are said to be supplementary when the sum of the two angles is 180°.

How do you prove that two angles are supplementary?

Theorem 10.4: If two parallel lines are cut by a transversal, then the interior angles on the same side of the transversal are supplementary angles. Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.

Are same side interior angles supplementary?

Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Same Side Interior Angles Theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

Which pair of angles is supplementary RXZ?

Answer: ∠RXZ and ∠YXZ is supplementary.

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