Question

Find the measure of the angle indicated in bold: 33x + 1 = 34x - 2.

A. 1 degree
B. 35 degrees
C. 33 degrees
D. 2 degrees

Answer 1

By performing algebraic operations to solve the equation 33x + 1 = 34x - 2, we find the value of x to be 3. Substituting x into the equation gives us the measure of the angle as 100 degrees.

Step-by-step explanation:

To solve for the measure of the angle indicated in the equation 33x + 1 = 34x - 2, we need to isolate the variable x. This is achieved by performing algebraic operations to both sides of the equation.

1. Subtract 33x from both sides: 33x + 1 - 33x = 34x - 2 - 33x, which simplifies to 1 = x - 2.
2. Add 2 to both sides: 1 + 2 = x - 2 + 2, resulting in 3 = x.

Now that we have found the value of x to be 3, we substitute it back into either side of the original equation to find the measure of the angle. Substituting into the left side, we get 33(3) + 1, which equals 99 + 1, and thus, the measure of the angle is 100 degrees.