Determine the measure of the indicated
exterior angle in the diagram.

Answer: 110 degrees
Triangle sum theory tells us that all the internal angles are equal to 180.
Meaning, we can solve 2x+3x+3x+4=180 for x
x=22
Then solve for 3x+4, which equals 70.
Last step, take 70 from 180 to find the external angle!
110 :)
Answer:
Exterior angle is equal to 110
Step-by-step explanation:
So to find the exterior angle, you must find the interior angle first.
You know that all 3 angles within the triangle must equal to 180 degrees, so what we can do is set up this equation to reflect that statement:
2x+3x+(3x+4) = 180
Group like terms:
8x+4=180
Solve for x:
8x = 176
x = 22
We can double check to see this matches up with all of the other angles inside:
2x = 44
3x = 66
3x+4 = 70
44 + 66 + 70 = 180
We also know that a straight line is 180 degrees
So, ? = 180 - 70
? = 110 degrees