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irina1246 [14]
2 years ago
14

Please help with khan

Mathematics
1 answer:
kodGreya [7K]2 years ago
3 0

Answer:

not 100% but I think it's Step 1

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Find the value of x. Then, find the measure of each angle.
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BD bisects m m Find m
amm1812

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:

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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}

6 0
3 years ago
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