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What is the value of x?​

What is the value of x?​-example-1
User LBPLC
by
8.7k points

2 Answers

2 votes

Answer:

25

Explanation:

The sum of interior angles in a triangle is equal to 180°.

So, to find the value of x, we can use the following equation:

80 + x + 4x - 25 = 180

  • Add/subtract like terms.

55 + 5x = 180

  • Subtract 55 from both sides.

5x = 125

  • Divide both sides by 5.

x = 25

User Jndok
by
8.6k points
1 vote

In the triangle, the sum of interior angles (80 + 4x - 25 + x) equals 180 degrees. Solving for x, 5x + 55 = 180, x = 25.

In a triangle, the sum of all interior angles is 180 degrees.

Given:

One angle = 80 degrees

Another angle =
\(4x - 25\) degrees

So, the sum of these angles in the triangle is 180 degrees:


\(80 + (4x - 25) + x = 180\)

Combine like terms:


\(80 + 4x - 25 + x = 180\)

Simplify:


\(5x + 55 = 180\)

To isolate x, subtract 55 from both sides:


\(5x = 180 - 55\)


\(5x = 125\)

Finally, solve for x by dividing both sides by 5:


\(x = (125)/(5)\)


\(x = 25\)

Therefore, the value of
\(x\) in the triangle is 25.

User Guillaume Bort
by
7.9k points

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