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.