The measure of two vertical angles are 6 x - 22 and 4 x + 2. Find x.
A:50
B:12
C:10
D:130
Since vertical angles are congruent, we can set the expressions for the angles equal to each other and solve for x:
6x - 22 = 4x + 2
Simplifying the equation, we get:
2x = 24
x = 12
Therefore, the value of x is 12.
Answer: B
To find the value of x, we need to set the two vertical angles equal to each other and solve for x.
So, we have:
6x - 22 = 4x + 2
First, we can simplify the equation by combining like terms:
6x - 4x = 2 + 22
2x = 24
Next, we isolate x by dividing both sides of the equation by 2:
2x/2 = 24/2
x = 12
Therefore, the value of x is 12.
The correct answer is B: 12.
To find the value of x, we can set up an equation by equating the measures of the two vertical angles.
The given measures of the two vertical angles are 6x - 22 and 4x + 2.
So, we have the equation:
6x - 22 = 4x + 2
To solve for x, we need to isolate the variable x.
First, let's simplify the equation by moving the 4x term to the left side of the equation and the constant terms to the right side:
6x - 4x = 2 + 22
This simplifies to:
2x = 24
Next, solve for x by dividing both sides of the equation by 2:
x = 24 / 2
x = 12
Therefore, the value of x is 12.
So, option B: 12 is the correct answer.