Answer:
x = 23°
Step-by-step explanation:
The two marked angles are "vertical" angles, so are congruent. That means they have the same measure, so ...
60° = 2x° + 14°
30° = x° +7° . . . . . . . divide by 2
23° = x° . . . . . . . . . . subtract 7°
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<em>Comment on the solution process</em>
The equation is what is called a "two-step linear equation." That is because it can be solved in two steps. Here, the steps we used were to divide by 2, then subtract 7. More conventionally, the two steps would be to subtract 14, thus isolating the variable term on one side of the equal sign, then divide by the coefficient of x (which would be 2), so as to get x by itself.
We have divided by the coefficient of x first, because all numbers in the equation are divisible by 2, and because that allows us to work with smaller numbers--specifically, the single-digit number 7, rather than the double-digit number 14. This makes the subtraction easier, IMO.
