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Leokris [45]
3 years ago
5

Anyone know the answer to this question?

Mathematics
1 answer:
natka813 [3]3 years ago
8 0

9514 1404 393

Answer:

  140°

Step-by-step explanation:

The value of the exterior angle (x°) is the sum of the other two angles shown. These are known as "remote interior angles."

  x° = 64° +76°

  x° = 140°

_____

<em>Additional comment</em>

This relationship derives from the fact that the exterior angle and the adjacent interior angle have a sum of 180° (they are a linear pair). We also know that the adjacent interior angle and the other two given angles have a sum of 180°.

If we call the unknown interior angle U, these relations are ...

  64 + 76 + U = 180 . . . . sum of angles in a triangle

  x + U = 180 . . . . . . . . . . sum of angles in a linear pair

Comparing these two equations, we see that ...

  64 + 76 = x

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9966 [12]
Let x=the first number
Then x+7=second number
And 4(x+7)+2=third number (2 more than 4 times the second)
Now we are told that:
x+(x+7)+(4(x+7)+2)=85 get rid of parentheses
x+x+7+4x+28+2=85 simplify
6x+37=85 subtract 37 from each side
6x+37-37=85-37
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4(x+7)+2=4*15+2=62 third number
CK
8+15+62=85
85=85
4 0
3 years ago
Read 2 more answers
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Step-by-step explanation:

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A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

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2 years ago
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Answer:

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Step-by-step explanation:

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