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

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

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