Answer:
122 or (3x-4).
Step-by-step explanation:
First, let's take a look at the polygon
The polygon has 5 sides.
We can calculate it's sum of interior angles by using (n-2)*180
Here, number of sides(n)=5
Therefore, (n-2)*180=(5-2)*180=3*180=540
Now that we got that out of the way, let's solve for x
2x+9+3x-8+3x-4+3x-10+2x+7=540
or,13x-6=540
or,13x=546
or,x=42
Now, solve for each interior angle,
2x+9=93
3x-8=118
3x-4=122
3x-10=116
2x+7=91
The largest here s 122 which is 3x-4.
SO, the largest interior angle=122 or (3x-4).