To solve for x given the expressions for two angles, 7x - and 3x + 1, we first need to know how these two angles are related. Since the question does not specify the relationship, the most common relationships to consider would be that they are either supplementary (sum to 180 degrees if they form a linear pair on a straight line) or complementary (sum to 90 degrees if they form a right angle). The dash following "7x" may indicate a typographical error where something, perhaps another term or the rest of an equation, is missing. However, as there is no further information, I will assume that we are dealing with supplementary angles, as it's a common scenario.
We are given two expressions that when summed together should equal 180 degrees:
7x and 3x + 1
Now, let's set up the equation from the assumption that these angles are supplementary:
7x + (3x + 1) = 180
To solve the equation for x, follow these steps:
1. First, combine like terms on the left side of the equation.
7x + 3x + 1 = 180
2. Combine the x terms:
(7x + 3x) + 1 = 180
10x + 1 = 180
3. Now, isolate the term containing x by subtracting 1 from both sides of the equation:
10x + 1 - 1 = 180 - 1
10x = 179
4. Finally, divide both sides by 10 to solve for x:
10x / 10 = 179 / 10
x = 17.9
So, x = 17.9.
