10
Therefore, the greatest common factor of 30 and 50 is 10.
AB is congruent to AC that is ur Answer
Alternate exterior
hope this helps!
Answer:

Step-by-step explanation:
Given
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Required
Determine the area;
Area is calculated as thus:
![Area = \frac{1}{2}[(x_1.y_2 +x_2.y_3 + x_3.y_4 + x_4.y_1)-(x_2.y_1 +x_3.y_2 + x_4.y_3 + x_1.y_4)]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B%28x_1.y_2%20%2Bx_2.y_3%20%2B%20x_3.y_4%20%2B%20x_4.y_1%29-%28x_2.y_1%20%2Bx_3.y_2%20%2B%20x_4.y_3%20%2B%20x_1.y_4%29%5D)
Substitute values
![Area = \frac{1}{2}[(-5*4 +3*-6 + 6*-6 + -7*4)-(3*4 +6*4 + -7*-6 + -5*-6)]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B%28-5%2A4%20%2B3%2A-6%20%2B%206%2A-6%20%2B%20-7%2A4%29-%283%2A4%20%2B6%2A4%20%2B%20-7%2A-6%20%2B%20-5%2A-6%29%5D)
![Area = \frac{1}{2}[(-102)-(108)]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B%28-102%29-%28108%29%5D)
![Area = \frac{1}{2}[-102-108]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B-102-108%5D)
![Area = \frac{1}{2}[-210]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B-210%5D)


None of the options answer the question:
Knowing that cos(45°) = 1/√2 is the way forward.

The last step in the equation may not be obious, but the trick here is to multiple numerator and denominator with (1-√2), then the denominator has the special product (a+b)(a-b) = a²-b².