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andreyandreev [35.5K]
3 years ago
6

Which pair of angles are corresponding angles?

Mathematics
1 answer:
Effectus [21]3 years ago
7 0

Corresponding angles are angles that are the same, and occupy the same relative position.

1 and 2: Incorrect - These are supplementary angles

3 and 5: Incorrect - These are same-side interior angles

2 and 6: Correct - These are corresponding angles

4 and 7: Incorrect - These are alternate interior angles

Hope this helps!! :)

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blagie [28]
We have an isosceles triangle;
A=opposite angle side a.
B=opposite angle side b.
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A=B
Method 1:

We can divide the isosceles triangle in two right triangles,
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side=9/2=4.5

B=A=arccossine (4.5/7)=49.994799...º≈50º
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Answer:
a=7;  A=50º
b=7;  B=50º
<span>c=9;  C=80º

Method 2:
Law of cosines:
a²=b²+c²-2bcCosA  ⇒CosA=(a²-b²-c²)/(-2bc)
CosA=(49-49-81) / (-126)=0.642857
A=arco cos (81/126)≈50º

B=A=50º

A+B+C=180º
50º+50º+C=180º
C=180º-100º
C=80º

Answer:

</span>a=7;  A=50º
b=7;  B=50º
<span>c=9;  C=80º</span>

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