The document contains three geometric figures with angles labeled. It uses angle properties and relationships to derive the values of unknown angles based on the information given in each figure. However, it concludes that the value of x could not be determined from the information provided in any of the figures due to insufficient data.

2. ABC = ACB, ABC is an isosceles triangle.  V
CAB = 180 - 80 - 80 = 20 , DAB is an isosceles triangle. d
V
BEC = 180 - 80 - 50 = 50 , BEC is an isosceles triangle. d
V
BFE = 180 - 20 - 50 = 110 , (angle property of a triangle). d
DFC = 110 , (vertically opposite angles). d
FDC = 180 - 110 - 30 = 40 , (angle property of a triangle). d
EFD = 180 - 110 = 70 , (angle at a straight line). d

3. ABC = ACB, ABC is an isosceles triangle.  V
CAB = 180 - 80 - 80 = 20 . d
BEC = 180 - 80 - 60 = 40 . d
BFE = 180 - 10 - 40 = 130 , (angle property of a triangle). d
DFC = 130 , (vertically opposite angles). d
FDC = 180 - 130 - 20 = 30 , (angle property of a triangle). d
EFD = 180 - 130 = 50 , (angle at a straight line). d

4. ABC = ACB, ABC is an isosceles triangle.  V
CAB = 180 - 80 - 80 = 20 . d
BEC = 180 - 80 - 40 = 60 . d
BFE = 180 - 40 - 60 = 80 , (angle property of a triangle). d
DFC = 80 , (vertically opposite angles). d
FDC = 180 - 80 - 40 = 60 , (angle property of a triangle). d
EFD = 180 - 60 = 100 , (angle at a straight line). d
The value of x could not be obtained in all the questions due to insufficient information.

5. Find the value of x in each figure

6. Find the value of x in each figure

7. Find the value of x in each figure

10. Find the value of x in each figure.

11. Find the value of x in each of the figure.

12. Find the value of x for the below figure