Answer:
112
Step-by-step explanation:
A supplementary angle is 1 or more angles that add up to 180 degrees. So, the 2 angles we have are 2x and 3x + 10, and those add up to 180.
In order to make an equation for this, we need to add 2x and 3x + 10 and equal it to 180.
5x + 10 = 180
Now that we have our equation, the goal is to isolate the variable. The most immediate step I see is to subtract 10 from both sides so 5x will be alone on one side of the equation.
5x = 170
Now, to ultimately isolate the variable, we must divide both sides by 5 so that x will be alone.
170 / 5 is 34
5x / 5 is x
x = 34
Now, we plug in our value of x into 3x + 10 to find out what the measurement is equal to.
3(34) + 10 = y
102 + 10 = y
112 = y
3x + 10 is equal to 112.
