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aliina [53]
3 years ago
15

What is a supplementary angle?

Mathematics
2 answers:
o-na [289]3 years ago
8 0

Supplementary angles are angles that usually share a common side, but they don't have to. If you joined them together, they would measure a straight angle and together they form a straight angle which measures 180°. If the sum of the measures of two angles is 180°, then the angles are classified as supplementary angles.

An example of a supplementary angle is provided in the image attached.

Lelu [443]3 years ago
5 0

Either of two angles whose sum is 180 degrees

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Andre45 [30]

We are given:

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Concept Used:

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Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

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__________________________________________________________

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We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

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∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
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  4. Multiplication
  5. Division
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Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.

  1. Substitute [SF]:                     m=\frac{4-0}{3+2}
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