Answer:
x = 50
Explanation:
If angles 1 and 3 are opposite each other, then they are congruent (they have the same measure) because they are vertical angles. Therefore:
angle 1 = angle 3
110 = 2x + 10
To solve for x, we isolate the variable on one side of the equation by subtracting 10 from both sides:
110 - 10 = 2x
100 = 2x
Then we divide both sides by 2 to get the value of x:
x = 100/2
x = 50
Therefore, the value of x is 50.