The missing angles includes
angles 1 = 35 degrees
angle 2 = 65 degrees
angle 3 = 29 degrees
angle 4 = 115 degrees
angle 5 = 65 degrees
angle 6 = 39 degrees
angle 7 = 141 degrees
How to find the missing angles in the figure
In the figure we find the missing angles using the given information as follows:
Angle 4 = 115 (vertical angles are equal)
angle 3 = 90 - 61 = 29 degrees (the other angle of right triangle)
angle 2 = 180 - angle 4 (angle on a straight line)
angle 2 = 180 - 115 = 65 degrees
angle 2 = angle 5 = 65 degrees (vertical angles)
angles 1 = 180 - angle 2 - 80 (sum of angles of a triangle)
angles 1 = 180 - 65 - 80 = 35 degrees
angle 6 = 180 - angle 4 - angle 3 (sum of angles of a triangle)
angle 6 = 180 - 115- 29
angle 6 = 39 degrees
angle 7 = 180 - angle 6 (angle on a straight line)
angle 7 = 180 - 39
angle 7 = 141 degrees