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Mathematics, 18.03.2021 03:20 Orabah

Roberto and his brother Frederico are fencing a garden. Frederico is working on one side of the garden and has put up his part of the fence as shown. Roberto is working on the opposite side of the garden and has put up his part of the fence as shown. The fences they have put up on opposite sides of the garden are parallel.
Frederico
1530
1
Roberto
At what interior angle should Roberto continue his fence in order to meet Frederico's fence in a straight line? Why?
O 27º. The new angle is a consecutive interior angle of the original angle. Since the
original and final paths are parallel, the two angles must be supplementary
O 153. The new angle is an alternate interior angle of the original angle. Since the
original and final paths are parallel, the new angle must be congruent to the
original angle
O 270. The new angle is on a straight line with the original angle, so the two angles
must be supplementary
O 153º. The new angle is a corresponding angle of the original angle. Since the
original and final paths are parallel, the new angle must be congruent to the
original angle.

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