We are given a triangle for which the definition of its three angles are given as:
50 degrees, (2 x) degrees, and finally (3 x - 10) degrees.
So in order to determine exactly the measure of each angle, we use the property that tells us that the addition of all three angles of a triangle should add to 180 degrees. Usig such, we will be able to solve for the unknown variable "x" in the equation:
50 + 2 x + 3x - 10 = 180
Now we combine the like terms in "x":
50 + 5 x - 10 = 180
Now we combine the pure numerical terms:
5 x + 40 = 180
Then we subtract 40 from both sides so as to try isolating the term in "x":
5 x = 180 - 40
5 x = 140
now we divide both sides by 5 so as to isolate x completely on the left:
x = 140/5
x = 28
Now, knowing x we could find the value of the two bottom angles, but the problem just wants to know the value of x.
