Answer:
x=15
Converse: If line x and y are parallel then angles on the same line are supplementary angles.
Step-by-step explanation:
Converse:
Let's start with the converse, so if line x and y are parallel then angles on the same line are supplementary angles. I'm not sure if that's the converse your teacher wants but my teacher taught me this.
Finding x:
Now we know that the angles are supplementary angles, that means if w add them together we get 180°. So our equation will be [tex]10x-22+3x+7=180[/tex]. Now we just solve it. We start by combining like terms, then adding the 15 to both sides, and lastly we divide the 13 to both sides and get...
[tex]10x-22+3x+7=180\\13x-15=180\\13x=195\\x=15[/tex]
x=15
