ABC is an equilateral triangle. What is the value of x? x = °

Solution:

Given ABC is an equilateral triangle,

⇒ ∠A = ∠B = ∠C = 60°

⇒ AB = BC = CA

⇒ 4x - 10 = 3x + 2 = 5x - 22

4x - 10 = 3x + 2

4x - 3x = 10 + 2

x = 12

⇒ 3x + 2 = 5x - 22

22 + 2 = 5x - 3x

24 = 2x

x = 12

⇒ 5x - 22 = 4x - 10

5x - 4x = -10 +22

x = 12

Therefore, the value of x is 12.

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ABC is an equilateral triangle. What is the value of x? x = °

Summary:

In the given figure, the value of x is 12.