write an equation for two supplementary angles with measurements of (2x+5) and (x-8)

Answer 1

Two angles are supplementary if the sum of their measures is 180 degrees. Given the two angles \( (2x + 5) \) and \( (x - 8) \), we can set up the following equation:

\[ (2x + 5) + (x - 8) = 180 \]

Now, simplify the equation:

\[ 2x + 5 + x - 8 = 180 \]

Combine like terms:

\[ 3x - 3 = 180 \]

Now, to isolate \( x \), add 3 to both sides:

\[ 3x = 183 \]

Finally, divide by 3:

\[ x = 61 \]

So, the equation that represents the relationship between these two supplementary angles is:

\[ (2x + 5) + (x - 8) = 180 \]

And with \( x = 61 \), you can find the measures of the angles.