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Two sumplementary angles have the following angle measures:

m<TUV = ( 2x - 25 ) and m<VUW = 110. What is an equation to solve for x ? The equation should be in the simplest terms.

2x + ___ = ___

1 answer

To find the equation that relates the two supplementary angles, we start with the definition of supplementary angles. Supplementary angles add up to 180 degrees.

Given the measures of the angles:

  • \( m<TUV = 2x - 25 \)
  • \( m<VUW = 110 \)

We can set up the equation:

\[ m<TUV + m<VUW = 180 \]

Substituting the given angle measures into the equation:

\[ (2x - 25) + 110 = 180 \]

Now, simplify the left side of the equation:

\[ 2x - 25 + 110 = 180 \]

Combine like terms:

\[ 2x + 85 = 180 \]

Now, to express this in the format requested:

\[ 2x + 85 = 180 \]

So, the equation in the simplest terms is:

\[ 2x + 85 = 180 \]