Answer:
- 220° and 500°
Step-by-step explanation:
To find the coterminal angles add / subtract 360°, that is
140° - 360° = - 220°
140° + 360° = 500°
The number in brackets represents the percentage change
1.045
the 1 shows that it is an increase and the .045 shows the percent
for example 1.55 would be 55% increase and 1.555 would be 55.5% increase
Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.
All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.
Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
