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Radda [10]
3 years ago
6

Somebody help ya plz

Mathematics
2 answers:
GREYUIT [131]3 years ago
4 0

Answer:

9

Step-by-step explanation:

They're vertical angles, so they are equal:

5x + 4 = 49

subtract 4 from both sidese

5x = 45

divide both sides by 5

x = 9

marishachu [46]3 years ago
4 0

Answer: x=9

Step-by-step explanation: First of all, the two shown inner angles are equivalent. This allows you to set up an equation like: (5x+4)=49

Then simply use algebra to solve...

(5x+4)=49

-4 -4 (subtract "4" from each side)

5x=45

5x/5=45/5 (divide each term in the equation by "5")

x=9

Hope this helps!

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For a better understanding of the solution given here please find the attached file which has the relevant diagram.

To answer this question we will have to make use of <u>the Isosceles Triangle Theorem</u> which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.

Please follow the diagram of a complete understanding of the logic and the solution.

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