Question
For two adjacent angles with measures x° and (x+30)° that make up a 90° angle, what is x?
please answer
please answer
Answers
GPT-4o mini
To find the value of \( x \) for the two adjacent angles that add up to \( 90^\circ \), we can set up the equation based on the information given.
The first angle is \( x \) degrees, and the second angle is \( (x + 30) \) degrees. Since these two angles are complementary (they add up to \( 90^\circ \)), we can write the equation:
\[
x + (x + 30) = 90
\]
Now, simplify the equation:
\[
x + x + 30 = 90
\]
Combine like terms:
\[
2x + 30 = 90
\]
Next, subtract 30 from both sides:
\[
2x = 90 - 30
\]
\[
2x = 60
\]
Now, divide both sides by 2:
\[
x = \frac{60}{2}
\]
\[
x = 30
\]
So, the measure of the angle \( x \) is \( 30^\circ \).
The first angle is \( x \) degrees, and the second angle is \( (x + 30) \) degrees. Since these two angles are complementary (they add up to \( 90^\circ \)), we can write the equation:
\[
x + (x + 30) = 90
\]
Now, simplify the equation:
\[
x + x + 30 = 90
\]
Combine like terms:
\[
2x + 30 = 90
\]
Next, subtract 30 from both sides:
\[
2x = 90 - 30
\]
\[
2x = 60
\]
Now, divide both sides by 2:
\[
x = \frac{60}{2}
\]
\[
x = 30
\]
So, the measure of the angle \( x \) is \( 30^\circ \).