KortnieR447451 KortnieR447451
  • 26-10-2022
  • Mathematics
contestada

How do I find one angle of a parallelogram with an equation in the consecutive angle?

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MarcioY516644 MarcioY516644
  • 26-10-2022

Angles of a Parallelogram.

The correct answer is 55

The consecutive angles of a parallelogram are supplementary, that is, sum up to 180 degrees)

[tex]\begin{gathered} 2x+15\text{ + x = 180} \\ \text{Collecting like terms, we get} \\ 2x+x=180-15 \\ 3x=165 \\ \text{Divide both sides by 3, we get} \\ x\text{ =}\frac{165}{3}=55 \end{gathered}[/tex]

The correct answer is 55.

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