Question
complimentary angle with angle 1 at 49 degrees and angle 2 at x+3, solve for x
Answers
GPT-4o mini
In geometry, two angles are called complementary if the sum of their measures is 90 degrees. Given that angle 1 is 49 degrees and angle 2 is \( x + 3 \), we can set up the equation:
\[
49 + (x + 3) = 90
\]
Now, simplify the equation:
\[
49 + x + 3 = 90
\]
\[
x + 52 = 90
\]
Next, subtract 52 from both sides:
\[
x = 90 - 52
\]
\[
x = 38
\]
Therefore, the value of \( x \) is **38**.
\[
49 + (x + 3) = 90
\]
Now, simplify the equation:
\[
49 + x + 3 = 90
\]
\[
x + 52 = 90
\]
Next, subtract 52 from both sides:
\[
x = 90 - 52
\]
\[
x = 38
\]
Therefore, the value of \( x \) is **38**.