Chapter 6.5, Problem 7CE

To determine

To Find: A reasonable deduction from the given figure and state the theorem that supports the answer.

  

Answer to Problem 7CE

  $m\angle 1>m\angle 2$

Explanation of Solution

Given:

Figure is shown as:

  

Calculation:

Theorem 6-2 states that.

If one side of a triangle is longer than a second side, then the angle opposite to the first side is larger than the angle opposite to the second side.

Here, side having length 6 is larger than side having length 5. The angle opposite to 6 is $\angle 1$ and the angle opposite to 5 is $\angle 2$ . Therefore, $m\angle 1>m\angle 2$ .

Therefore, answer is $m\angle 1>m\angle 2$ .