Answer:
m∠ABC = 83°
Step-by-step explanation:
The angle ∠abc and ∠dbe are opposed by the vertex. By definition "Two angles opposite the vertex are congruent or equal"
So ∠abc = ∠dbe
Then, to solve this problem you must match both expressions and clear the variable x.
[tex](6x-7) = (4x + 23)\\6x - 7 -4x = 23\\2x = 30\\x = 15[/tex]
Now substitute x = 15 in the given expression for the angle ∠abc. (6x-7)
So, we have:
[tex]6(15) -7\\= 90 - 7\\= 83\°[/tex]°
Finally, the angle is 83°
