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Murljashka [212]
3 years ago
13

Anyone know the answer

Mathematics
2 answers:
LenaWriter [7]3 years ago
5 0

Step-by-step explanation:

A straight line has 180° so we can set

4x-16+2x+16=180

6x=180

x=30

Hope that helps :)

grin007 [14]3 years ago
3 0

Step-by-step explanation:

4x - 16 + 2x + 16 = 180 \\  6x = 180 \\ x = 30

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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

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The two angles are:

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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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