given the measure of angle 1=4x+30 and the measure of angle 3=2x+48 then X=?
How about x=10?
angle 1 = 70
angle 3 = 68
So what? Is there something else you want to tell us?
Show me step process
To find the value of x, we can use the fact that angles 1 and 3 are supplementary angles, meaning their measures add up to 180 degrees.
So we can set up the equation:
(4x + 30) + (2x + 48) = 180
First, let's simplify the equation by combining like terms:
6x + 78 = 180
Next, let's isolate the variable x by subtracting 78 from both sides of the equation:
6x = 180 - 78
Simplifying further:
6x = 102
Finally, to solve for x, divide both sides of the equation by 6:
x = 102 / 6
x = 17
Therefore, the value of x is 17.