CatilayaI350826 CatilayaI350826
  • 30-10-2022
  • Mathematics
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three angles are congruent and adjacent and form a line. each angle measures____?

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KashtynP2640 KashtynP2640
  • 30-10-2022

Answer:

60 degrees

Explanation:

Given three adjacent and congruent angles that form a line as illustrated in the diagram below:

Let each of the angles = x

The sum of angles on a line = 180 degrees.

Therefore:

[tex]\begin{gathered} x+x+x=180 \\ \implies3x=180 \\ \implies x=\frac{180}{3} \\ x=60\degree \end{gathered}[/tex]

Each of the angles measures 60 degrees.

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