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2 years ago

1. Using the figure below, what is the measure of angle ABE?

Mathematics

2 answers:

Papessa [141]2 years ago

8 0

Answer:

The angle of ∠ABE is 40°.

Step-by-step explanation:

Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.

Eva8 [605]2 years ago

3 0

Answer:

see below

Step-by-step explanation:

Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.

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Please consider the attached file.

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We will use Pythagoras theorem to solve for KJ as:

$KJ^2=KM^2+MJ^2$

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$KJ^2=36+9$

$KJ^2=45$

Now we will take positive square root on both sides:

$\sqrt{KJ^2}=\sqrt{45}$

$KJ=\sqrt{9\cdot 5}$

$KJ=3\sqrt{5}$

Therefore, the length of line segment KJ is $3\sqrt{5}$ and option D is the correct choice.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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