Answer:
103°
Step-by-step explanation:
∠CEA and ∠DEB are vertically opposite angles same as ∠CED and ∠AEB.
Vertically opposite angles are angles that form when two lines intersect
From the figure given, lines CB and AD intersect to form vertically opposite angles mentioned above. Vertically opposite angles are equal, meaning
∠CEA=∠DEB and ∠CED=∠AEB
Replacing ∠CED=∠AEB, we get
(14x+7)°=(12x+17)°
Solve for x
(14x-12x)=17-7
2x=10
x=10÷2=5
value for x in ∠CED=∠AEB, we get (14×5)+7=77°
To calculate ∠CEA and ∠DEB
Let ∠CEA=∠DEB=y
∠DEA=180°since its a straight line therefor
(14x+7)°+y=180°
77+y=180
y=∠CEA=∠DEB=103°
