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:
[tex](x+22)+\text{ (2x-18) +x = 180}[/tex]Putting similar terms together, this is equivalent to:
[tex](x+2x+x)\text{ + (22-18) = 180}[/tex]this is equivalent to:
[tex]4x\text{ + 4 = 180}[/tex]this is equivalent to:
[tex]4x\text{ = 180}-4\text{ = 176}[/tex]solve for x:
[tex]x\text{ = }\frac{176}{4}=\text{ 44}[/tex]Then, we can conclude that x = 44.
