Question

What is the value of x?​

Answer 1

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

Answer 2

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.