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Find the value of x.

(2.5x + 6)

Find the value of x. (2.5x + 6)-example-1
User Vatine
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2 Answers

3 votes

Answer:

See below

Explanation:

All of the sides are the same length so all of the angles are the same in this equilateral triangle....each is 60°

60 = 2.5 x + 6

54 = 2.5 x

x = 21.6 °

6 votes

In an equilateral triangle, angle ABC is equal to angle BAC and angle ACB. To find the value of x, we set up an equation by equating the sum of the three angles in the triangle to 180 degrees. Solving for x, we find that x equals 21.6.

In an equilateral triangle, all three angles are equal.

Therefore, in the equilateral triangle ABC, angle ABC is equal to angle BAC and angle ACB.

Since the triangle is equilateral, the sum of the three angles is 180 degrees. So, we have:

(2.5x + 6) + (2.5x + 6) + (2.5x + 6) = 180

7.5x + 18 = 180

7.5x = 162

x = 162 ÷ 7.5

x = 21.6

The probable question may be:

In an equilateral triangle ABC, angle ABC =(2.5x+6) degree. Find the value of x.

User Karellm
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