Two groups of hikers leave the same camp heading in opposite directions. Each group travels 3 km, then change direction and travels 2.5 km. Group A starts due west and then turns 50° toward south. Group B starts due east and then turns 37° toward north. Which group is farther from camp? Explain your reasoning. Draw a diagram that represents the situation and mark the given measures. Find the included angles using linear pairs for the paths that the group travel. Use the theorems on triangle inequalities to interpret and conclude your answer.

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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.