Solve for x:
measure of AOC= 7x-2
measure of AOB= 2x+8
measure of BOC= 3x+14
x=12 ik I'm late
To solve for x, we need to set up an equation using the information given.
First, we know that the sum of the measures of the angles in a triangle is always 180 degrees.
So, let's set up an equation using the given measures of angles AOC, AOB, and BOC.
Angle AOC + Angle AOB + Angle BOC = 180 degrees
Substituting the given measurements:
(7x - 2) + (2x + 8) + (3x + 14) = 180
Simplifying:
7x - 2 + 2x + 8 + 3x + 14 = 180
12x + 20 = 180
Now, we need to isolate the variable x.
Subtracting 20 from both sides:
12x = 160
Finally, we can solve for x by dividing both sides by 12:
x = 160 / 12
x = 40 / 3
So, the value of x is 40/3, or approximately 13.33.
To solve for x, we'll set up an equation using the information provided.
The sum of the angles in a triangle is 180 degrees. Therefore, we can write the equation:
AOC + AOB + BOC = 180
Substituting the given measures into the equation, we have:
(7x - 2) + (2x + 8) + (3x + 14) = 180
Now we can simplify and solve for x:
7x - 2 + 2x + 8 + 3x + 14 = 180
Combine like terms:
12x + 20 = 180
Subtract 20 from both sides:
12x = 160
Divide both sides by 12:
x = 160/12
Simplify the fraction:
x = 40/3
Therefore, the value of x is 40/3.