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Mice21 [21]
2 years ago
6

Helpppppppppppppp!!!!

Mathematics
1 answer:
Vinil7 [7]2 years ago
7 0

Answer:

x = 49

Step-by-step explanation:

The two interior angles added together equal the exterior angle.

Make an equation and solve for x.

x - 4 + 2x + 10 = 153

3x + 6 = 153

3x + 6 - 6 = 153 - 6

3x = 147

3x/3 = 147/3

x = 49

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Step-by-step explanation:

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BD bisects m m Find m
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The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

m\angle ABC = 77.2^\circ

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

m\angle ABD=m\angle CBD

Substituting the algebraic expressions for both angles:

2.5x + 8.6=3.5x - 3.4

Subtracting 8.6 and 3.5x:

2.5x - 3.5x = -8.6 - 3.4

Operating:

-x = -12

x = 12

The two angles are:

m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ

m\angle CBD=3.5x - 3.4 = 38.6^\circ

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

m\angle ABC = 2*38.6^\circ=77.2^\circ

\mathbf{m\angle ABC = 77.2^\circ}

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