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<KLM and <MLP are supplementary angles. The angles. the angles have the following meausure m <KLM = (x + 30) and m<MLP = (2x + 60) . what is an equation to solve for the unknown angle measures? write the equation in simplest terms

_x + _ = 180

1 answer

Since angles KLM and MLP are supplementary, their measures must add up to 180 degrees. Given that:

  • m<KLM = \(x + 30\)
  • m<MLP = \(2x + 60\)

We can set up the equation:

\[ m<KLM + m<MLP = 180 \]

Substituting the expressions for the angles, we have:

\[ (x + 30) + (2x + 60) = 180 \]

Now, simplify the equation:

\[ x + 30 + 2x + 60 = 180 \]

Combine like terms:

\[ 3x + 90 = 180 \]

So the equation in simplest terms is:

\[ 3x + 90 = 180 \]