To match angles greater than 90 degrees with their reference angles, we first need to understand what a reference angle is. A reference angle is the acute angle formed by the terminal side of the given angle and the horizontal axis.
Let’s go through the angles provided:
- 135 degrees: This angle is in the second quadrant. To find its reference angle, we subtract it from 180 degrees:
Reference angle = 180 – 135 = 45 degrees. - 90 degrees: This angle is not greater than 90 degrees, so we won’t match it with a reference angle in this context.
Since only 135 degrees is greater than 90 and has a reference angle of 45 degrees, our final matching is:
135 degrees -> Reference Angle: 45 degrees