Question

find the value of x. vertical angles 30 + 90 + x = 180 120 + x = 180 multiple-choice question find the value of x. a. 30 degrees b. 60 degrees c. 90 degrees

Explanation:

Step1: Simplify the left side

We have the equation \(30 + 90 + x = 180\). First, add 30 and 90: \(30+90 = 120\), so the equation becomes \(120 + x = 180\).

Step2: Solve for x

Subtract 120 from both sides of the equation \(120 + x = 180\). Using the subtraction property of equality, we get \(x = 180 - 120\). Calculating the right side, \(180-120 = 60\).

Answer:

b. 60 degrees