∠A and
∠
B
∠B are supplementary angles. If m
∠
A
=
(
5
x
+
23
)
∘
∠A=(5x+23)
∘
and m
∠
B
=
(
4
x
−
5
)
∘
∠B=(4x−5)
∘
, then find the measure of
∠
A
∠A.