Question

Find m abc (6x-7) (4x+23)

Answer 1

m∠ABC = 83°

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.

`(6x-7) = (4x + 23)\\6x - 7 -4x = 23\\2x = 30\\x = 15`

Now substitute x = 15 in the given expression for the angle ∠abc. (6x-7)

So, we have:

`6(15) -7\\= 90 - 7\\= 83\°`°

Finally, the angle is 83°