1. **Problem Statement:** Find the azimuths of the lines AB, BC, CD, and DA given the angles at vertices A, B, C, and D. 2. **Understanding Azimuths:** Azimuth is the angle measured clockwise from the north direction to the line in question. 3. **Given Angles:** - At B: Angle between WB and NB is 68°, angle between SB and WB is 25°. - At A: Angle between WA and NA is 25°, angle between NA and EA is 62°. - At D: Angle between WD and ND is 62°, angle between ND and ED is 17°. - At C: Angle between WC and NC is 68°, angle between SC and NC is 17°. 4. **Calculate Azimuth of AB:** - At A, from north to line AB, sum angles: 25° (WA to NA) + 62° (NA to EA) = 87°. - Since AB is from A to B, azimuth AB = 87°. 5. **Calculate Azimuth of BC:** - At B, from north to WB is 68°, and from WB to SB is 25°. - BC is along SB direction, so azimuth BC = 68° + 25° = 93°. 6. **Calculate Azimuth of CD:** - At C, from north to WC is 68°, and from SC to NC is 17°. - CD is along SC direction, so azimuth CD = 68° + 17° = 85°. 7. **Calculate Azimuth of DA:** - At D, from WD to ND is 62°, and from ND to ED is 17°. - DA is along ED direction, so azimuth DA = 62° + 17° = 79°. **Final Azimuths:** - AB = $87^\circ$ - BC = $93^\circ$ - CD = $85^\circ$ - DA = $79^\circ$