I found out the first part of which is x for the figure which was 115 degrees.They do give you the other measures of the angles which are 115,155,155,155.135,135,115.The second part of the problem say yo find the sum of the measures of the exterior angles,one at each vertex,how do you do that?
To find the sum of the measures of the exterior angles at each vertex, you need to use the fact that the sum of the measures of the exterior angles of any polygon is always 360 degrees.
Here's how you can find the sum of the measures of the exterior angles for the given figure:
1. Identify the number of sides of the polygon. From the given information, we can see that the polygon has 8 angles since the measures of the given angles are 115, 155, 155, 155, 135, 135, 115.
2. Recall that the formula to find the sum of the exterior angles of a polygon is given by: sum of exterior angles = 360 degrees.
3. Multiply the number of sides of the polygon by 360: sum of exterior angles = 8 * 360 = 2880 degrees.
So, the sum of the measures of the exterior angles in the given figure is 2880 degrees.