It's important to understand that vertical angles are always ≅.
So we can say that the m<A = m<B.
So we can setup the equation 7x - 20 = 6x - 1.
Start by subtracting 6x from both sides and we have x - 20 = -1.
Now add 20 to both sides to get x = 19.
If x = 19, then the m<A is 7(19) - 20 or 133 - 20 which is 113.
Answer: The measure of angle A is 113°
Step-by-step explanation:
7x - 20 = 6x -1
+20 +20
7x = 6x + 19
-6x -6x
1x = 19
x = 19
7(19) -20 = 113
6(19) - 1 = 113