Question

allie is cutting out triangles for a project for her math class. her teacher gave her the angle measures in the form of expressions x°, (x + 22)° and 2x-18)°.what is the value of x.

Answer 1

Problem:

Allie is cutting out triangles for a project for her math class. her teacher gave her the angle measures in the form of expressions x°, (x + 22)° and 2x-18)°.what is the value of x.​

Solution:

Consider the following diagram:

Now, remember that the sum of the interior angles of a triangle gives 180 degrees. Therefore, we will have the following equation:

`(x+22)+\text{ (2x-18) +x = 180}`

Putting similar terms together, this is equivalent to:

`(x+2x+x)\text{ + (22-18) = 180}`

this is equivalent to:

`4x\text{ + 4 = 180}`

this is equivalent to:

`4x\text{ = 180}-4\text{ = 176}`

solve for x:

`x\text{ = }(176)/(4)=\text{ 44}`

Then, we can conclude that x = 44.