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garri49 [273]
3 years ago
10

∠A and \angle B∠B are vertical angles. If m\angle A=(3x+3)^{\circ}∠A=(3x+3) ∘ and m\angle B=(4x-8)^{\circ}∠B=(4x−8) ∘ , then fin

d the value of x.
Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Answer:

The value of x is 11 degrees

Step-by-step explanation:

Here, given that two angles are vertical angles, we are interested in calculating the value of x. We simply want to use an important property of vertical angles to get the value of x as given in the question.

When we talk of vertical angles, they are angles which lies on opposite side to each other when we have two intersecting line.

By property, vertically opposite angles are equal.

Thus, in this case, we are to equate the angles we are having since they are both vertical angles;

Thus,

Mathematically;

angle A = angle B

3x + 3 = 4x -8

Collect like terms;

4x-3x = 3 + 8

x = 11 degrees

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We are given

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option-A:

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we can see that

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option-B:

we can plug (-1,-2)

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option-C:

we can plug (-3,4)

x=-3 and y=4

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we can see that

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option-D:

we can plug (2,6)

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we can see that

they are not equal

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6 0
3 years ago
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<h3>Answers: </h3>

Angle 1 and 3:  Vertical Angles

Angle 4 and 8: Corresponding Angles

Angles 4 and 6: Alternate Interior Angles

Angles 3 and 5: Alternate Interior Angles

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Angles 1 and 7: Alternate Exterior Angles

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Explanation:

Vertical angles are formed when you cross two lines to form an X shape. The vertical angles are opposite one another in this configuration.

Corresponding angles are ones that show up in the same corner of each four-corner crossing. In the case of angles 4 and 8, both are in the southwest corner of each four-corner crossing.

Alternate interior angles are angles in between parallel lines and on opposite sides of a transversal. Alternate exterior angles are similar, but they are outside the parallel lines.

A linear pair of angles are adjacent and supplementary (meaning they add to 180).

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