Answer:
∠D B C = 41°
Step-by-step explanation:
Step(i):-
Given ∠ABC = 90°
In diagram ∠D B C + ∠A B D = 90°
6 x+5 + 8 x +1 = 90
14 x + 6 = 90
14 x = 90 -6
14 x = 84
x = 6
Step(ii):-
∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41
∠D B C = 41°
∠A B D = 8(6) +1 = 49°
∠D B C + ∠A B D = 41° + 49° = 90°
