Final answer:
To find the bearing of line AB with an azimuth of 97°29'55", subtract it from 180° to get the angle south of east, resulting in a bearing of 82°30'05" south of east.
Step-by-step explanation:
If the azimuth of line AB is 97°29'55", the bearing of line AB can be determined by converting the azimuth into its equivalent bearing format.
The azimuth is measured clockwise from the north direction, and bearings are typically expressed as an angle less than 90 degrees from the nearest cardinal direction (north or south) followed by the direction toward east or west.
To convert the given azimuth into bearing, we observe that since the azimuth is more than 90°, line AB is oriented east of north. We subtract the azimuth from 180° to find the angle from the south, which gives us 180° - 97°29'55" resulting in 82°30'05".
Therefore, the bearing is 82°30'05" south of east.