Question

The three angles of a triangle are represented by the expressions

3x-14 and x+4. Recall that the sum of the angles of a triangle are 180 degrees. Write an equation solve for each

Answer 1

I'm guessing that the two expressions are for separate equilateral triangles.

If so, the equations would be:

3(3x-14)=180
3(x+4)=180

to solve the first equation, divide by 3:
3x-14=60
then, add 14 to both sides:
3x=74
lastly, divide both sides by 3:
x=24.667

to solve the second equation, divide both sides by 3:
x+4=60
then, subtract 4 from both sides:
x=56