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djverab [1.8K]
3 years ago
11

Which pair of angles are alternate exterior angles?

Mathematics
2 answers:
Neko [114]3 years ago
4 0

Answer:

<2 and <7

Step-by-step explanation:

Because <2 and <6 are equal and <3 and <7 are equal as well means that angles <2 and <7 are alternate exterior angles as well as angles <3 and <6.

Luba_88 [7]3 years ago
4 0

Answer:

<2 and <7

Step-by-step explanation:

The alternate exterior angles are those angles that are found by the symmetry that is created between parallel lines.

In the image the angles <2 and <3 are equal because they are opposed by the vertex.

and due to the symmetry of the parallel lines the angle 3 <3 is corresponding to the angle 7 <7 (they measure the same for being on the same side in the lines that are parallel)

This means that consequently, angles <2 and <7 are equal and are alternate exterior angles.

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Answers:

  • Problem 13)  M, N, L
  • Problem 14)  N, L, M

For each answer above, the angles are sorted from smallest to largest.

=================================================

Explanation:

The general rule used here is: the smallest side is always opposite the smallest angle. Similarly, the largest side is always opposite the largest angle. This trick only works for triangles.

For problem 13, the smallest angle is M because the shortest side is opposite this angle (side NL = 12). The largest side is MN = 21, making the angle opposite this (angle L) to be the largest angle.

We do not need to compute the actual angle values, though you could if you wanted. To find the angle values, you would use the law of cosines. The steps for this are fairly lengthy, so I'll just use the trick mentioned above.

------

Problem 14 is the same idea. Here LM = 7 is the shortest side this time, leading to angle N as the opposite angle that's the smallest of the three angles. Angle M is the largest angle because NL = 14 is the longest side.

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3 years ago
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Scorpion4ik [409]
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Step-by-step explanation:

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