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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