Answer:
1) x= 20
2) x= 75
Explanation:
In the first problem, we see vertical angles. This means that both angles equal each other: 50= 2x+10
Step 1- Subtract 10 to both sides.
50= 2x+10
-10 -10
40= 2x
Step 2- Divide both sides by 2.
40= 2x
2 2
x= 20
In the next problem we see a straight line and an intersecting point. Now, both of these angles sum up to 180 degrees. So the equation would be:
x-10+2x-35= 180
Step 1- Add common variables.
(x+2x)+(-10-35)= 180
3x-45= 180
Step 2- Add 45 to both sides.
3x-45= 180
+45 +45
3x= 225
Step 3- Divide both sides by 3.
3x= 225
3 3
x= 75
Input the value of x into the equations.
75-10= 65
2(75)-35= 115
Hope this helps!