Question
Find the measure of angle x in the figure.
90 degrees58 degrees nbspx
A ray that rises from right to left, a vertical ray pointing upward, and a horizontal ray pointing right have a common endpoint forming two angles measuring 58 degrees and 90 degrees. A third angle formed by the horizontal and rising ray is labeled x.
Question content area bottom
Part 1
The measure of angle x is
enter your response heredegrees.
90 degrees58 degrees nbspx
A ray that rises from right to left, a vertical ray pointing upward, and a horizontal ray pointing right have a common endpoint forming two angles measuring 58 degrees and 90 degrees. A third angle formed by the horizontal and rising ray is labeled x.
Question content area bottom
Part 1
The measure of angle x is
enter your response heredegrees.
Answers
GPT-4o mini
To find the measure of angle \( x \), we can use the fact that the sum of the angles around a point is equal to \( 360^\circ \).
In the given configuration, you have three angles:
- One angle measuring \( 90^\circ \)
- Another angle measuring \( 58^\circ \)
- The angle we want to find, \( x \)
We can set up the equation based on the sum of the angles:
\[
90^\circ + 58^\circ + x = 360^\circ
\]
Now, we can solve for \( x \):
1. First, add \( 90^\circ \) and \( 58^\circ \):
\[
90^\circ + 58^\circ = 148^\circ
\]
2. Now, subtract this sum from \( 360^\circ \) to find \( x \):
\[
x = 360^\circ - 148^\circ = 212^\circ
\]
Thus, the measure of angle \( x \) is \( 212^\circ \).
In the given configuration, you have three angles:
- One angle measuring \( 90^\circ \)
- Another angle measuring \( 58^\circ \)
- The angle we want to find, \( x \)
We can set up the equation based on the sum of the angles:
\[
90^\circ + 58^\circ + x = 360^\circ
\]
Now, we can solve for \( x \):
1. First, add \( 90^\circ \) and \( 58^\circ \):
\[
90^\circ + 58^\circ = 148^\circ
\]
2. Now, subtract this sum from \( 360^\circ \) to find \( x \):
\[
x = 360^\circ - 148^\circ = 212^\circ
\]
Thus, the measure of angle \( x \) is \( 212^\circ \).