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1 vote
15. Find the value of x.
(68 - x)
3x

15. Find the value of x. (68 - x) 3x-example-1

2 Answers

7 votes

Answer:

The value of 'x' is: 17°

Explanation:

From what is being shown, there are two angles that are given:

(68 - x)°

3x°

Since they are congruent angles, meaning they are equal to each other, they will be put into a(n) equation such like shown below:

(68 - x)° = 3x°

(Then remove the parenthesis)

68° - x° = 3x°

+ x°=+3x°

------------------

68° = 4x°

------------------

(Divide both sides by 4)


(68)/(4) = (4x)/(4)

------------------

17° = x

------------------

Your value of 'x' is 17.

User Tobias Boschek
by
5.5k points
4 votes

Answer:

17=x

Explanation:

In this case, we need to use Vertical Angles Theorem to solve this problem. Basically, because of the position of the angles, they are congruent.

68-x = 3x

Add x to both sides

68=4x

Divide by 4

17=x

Hope this helps!

User Paras Joshi
by
5.0k points