Respuesta :

Answer:x=4

Step-by-step explanation:

This triangle is an equilateral triangle with all angles equal.

Sum of angles in a triangle=180

17x-8+17x-8+17x-8=180

Collect like terms

17x+17x+17x-8-8-8=180

51x-24=180

51x=180+24

51x=204

Divide both sides by 51

51x/51=204/51

x=4

For given question, x = 4

What is an equilateral triangle?

"It is a triangle with all three sides of equal length and each angle measures 60°."

What is an equation?

"It is a statement which consists of equal symbol between two mathematical expressions."

From given figure,

we can observe that the all sides of the triangle are equal.

This means, the given triangle is an equilateral triangle.

So, each angle of triangle measures 60°.

So, we get an equation,

⇒ 17x - 8 = 60°

⇒ 17x = 60 + 8

⇒ 17x = 68

⇒ x = 68/17

x = 4

Learn more about an equilateral triangle here:

https://brainly.com/question/3461022

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