The angle measurements in the diagram are represented by the following expressions.
A= 7x + 24°
B = 3x + 92
A=

Answer:
X= 6.4 ∠A=68.8
Step-by-step explanation:
We know that these 2 angle must equal 180 so we use the equation:
180=7x+24+3x+92
OR
180=7x+3x+24+92
Then, we add like terms (both variable and numbers)
180=10x+116
After that, we solve
180=10x+116
-116 -116
__________
64=10x
________
64/10 = x
________
6.4=x
Now that we have found x, we can plug in x to figure out the new equation to find the angle of A (or B).
∠A= 7(6.4)+24
If we solve that, it would be:
∠A=44.8+24
___________
∠A=68.8