Answer:
∠ ABC = ∠ DBE = 65°
∠ ABD = ∠ CBE = 115°
Step-by-step explanation:
See the diagram attached to this question.
Now, ∠ ABC and ∠ DBE are two vertically opposite angles.
So, 3x + 38 = 5x + 20
⇒ 2x = 18
⇒ x = 9
So, ∠ ABC = ∠ DBE = 3(9) + 38 = 65° (Answer)
Again, ∠ ABC and ∠ ABD are supplementary angles.
Then, ∠ ABC + ∠ ABD = 180°
⇒ ∠ ABD = 180° - 65° = 115°
And ∠ ABD = ∠ CBE {Vertically opposite angles}
So, ∠ ABD = ∠ CBE = 115° (Answer)
