We can see that angle d is the supplement of 97°. So d = 180°-97°= 83°
We can see that angle c and 97° are corresponding. So c=97°
If we see the triangle we can deduce that it is isosceles. So, the angles of the triangle would be (26°, 77°, 77°)( Since the sum of all angles must be equal to 180° and two angles must be equal)
The angle a is the supplement of angle 77°, so a= 180°- 77° = 103°.
The angle b is the supplement of angle 77°, so b= 180°- 77° = 103°.
Finally, we can find the angle e formulating the following equation:
540° - a - b - c- d = e (Since the sum of the angles of a pentagon must be equal to 540°)
540° - 103° - 103° - 97° - 83° = e (Replacing)
154° = e (Subtracting)