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

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 :)

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