Use the value of x to find the measure of angle 1 x=25

I’ll just do them both since it’s easier to check.

So to make this easier both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180
First we collect like terms
5x+2x-5+10=180
Add them up
7x+5=180
Move the constant to the right
7x=180-5
7x=175
7x/7=175/7
x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5
5(25)-5
125-5
120

So angle one is 120 degrees.

2x+10
2(25)+10
50+10
60

So angle two is 60 degrees.

Now to check,

120+60=180