A surveyor sights two signs and the angle between the two lines of sight measures 80°. If the first and the second signs are 70 m and 50 m away respectively from the surveyor, find the distance between the two signs and the area of the lot. Express your answer to the nearest meter.

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Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.