Question

answer find the value of the x each case

Answer 1

1)

ACB∡ +CAB∡ +ABC∡ = 180°

ACB∡ +60° + 45° = 180°

ACB∡ +105° = 180°

ACB∡ = 180° - 105°

ACB∡ = 75°

ACB∡ = DCE∡ (Vertically opposite angles)

Therefore,

X + DCE∡ + EDC∡ = 180°

X + 75° + 80° = 180°

X + 155° = 180°

X = 180° - 155°

X = 25°

2)

BAC∡ + ACB∡ = DBC∡ (Sum of two interior angles is equal to the opposite exterior angle)

(3X + 40°) + 4X = 11X -60°

3X +40° + 4X = 11X -60°

3X + 4X -11X = -60° - 40°

-4X = -100°

X = 25°

Answer 2

so these are your answer
a.25°
b.25°
c.20°