Question

Hello I am not sure for what to do for the end of the equation.

Answer 1

25

Step-by-step explanation

We are given that p and q intersect to form <1 and <2 that are adjacent.

Let us represent that with a diagram:

We have that <1 and <2 are supplementary.

This means that they add up to 180 degrees.

So:

<1 + <2 = 180

4x - 3 + 3x + 8 = 180

Collect like terms:

4x + 3x + 5 = 180

7x = 180 - 5

7x = 175

x = 175 / 7

x = 25

That s the value of x for which <1 and <2 are supplementary.