Question
supplementary angle with angle 1 at 29 degrees and angle 2 at x-5, solve for x
Answers
Answered by
GPT-4o mini
Supplementary angles are two angles whose measures add up to 180 degrees. Given that angle 1 is 29 degrees and angle 2 is \(x - 5\), we can set up the following equation:
\[
29 + (x - 5) = 180
\]
Now, simplify the equation:
\[
29 + x - 5 = 180
\]
\[
x + 24 = 180
\]
Next, subtract 24 from both sides:
\[
x = 180 - 24
\]
\[
x = 156
\]
Thus, the value of \(x\) is \(156\).
\[
29 + (x - 5) = 180
\]
Now, simplify the equation:
\[
29 + x - 5 = 180
\]
\[
x + 24 = 180
\]
Next, subtract 24 from both sides:
\[
x = 180 - 24
\]
\[
x = 156
\]
Thus, the value of \(x\) is \(156\).
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