Answer:
∠ABC = 41°
∠ DBC = 43°
Explanation:
6x-7 + 5x+3 = 84
6x + 5x = 84 - 3 + 7
11x = 88
x = 8
∠ABC = 6x-7
= 6*8 - 7
= 48 - 7
= 41°
∠ DBC = 5x + 3
= 5*8 + 3
= 40 + 3
= 43°
41
BDA = DBC+CBA
84=5x+3 + 6x-7
Combine like terms
84 = 11x-4
Add 4 to each side
84+4= 11x -4+4
88 =11x
Divide each side by 11
88/11 = 11x/11
8 = x
We want angle ABC
ABC = 6x-7
=6*8 -7
=48-7
=41
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