Final answer:
Angle measurements use degrees, minutes, and seconds. The sum of angles in a triangle is 180 degrees, and the Pythagorean theorem gives a relation among the three sides of a right triangle. Without specific information on triangles DEF, ABC, or the farmer's plot, we can't provide the exact measures.
Step-by-step explanation:
Without the specific details of triangles DEF and ABC, we cannot input the precise side lengths or angles. However, we can explain how to approach similar problems. Angle measurement is denoted using degrees (°), minutes ('), and seconds ("). For instance, 35° 43' 9" signifies an angle of 35 degrees, 43 minutes, and 9 seconds.
As for a four-sided plot of land, like the one described in a farmer's scenario, side lengths could be calculated using various methods, including the use of a coordinate system or Pythagorean theorem if we are dealing with a right triangle.
In a triangle, the sum of all the angles is always 180 degrees. For example, if ABC is a triangle, there will be three angles A, B, C and the sum of angles would be A + B + C = 180°.
The Pythagorean theorem is a mathematical relationship between the sides of a right angle triangle. It can be used to calculate one side if we know the sides of the other two.
Learn more about Angles and Triangles