Find the measure of the acute angle, x.

Question

x = [?] degress
300 degress and an X.

Answer 1

To find the acute angle, \( x \), related to \( 300^\circ \), we can calculate the reference angle for \( 300^\circ \).

1. Find the reference angle: The reference angle is the angle between the terminal side of the given angle and the x-axis. For angles greater than \( 270^\circ \) but less than \( 360^\circ \):

   \[ \text{Reference angle} = 360^\circ - 300^\circ = 60^\circ \]

2. Determine if the angle is acute: An acute angle is one that is less than \( 90^\circ \). Since \( 60^\circ \) is less than \( 90^\circ \), it is indeed an acute angle.

Thus, the measure of the acute angle \( x \) is:

\[ x = 60^\circ \]