∠A=5x−18. ∠B=3x+42∘ solve for x and then find the measure of ∠A

x = 30 ∠A = 132 degrees

Step-by-step explanation:

Set the equations equal to each other to solve for x

5x - 18 = 3x + 42

-3x        - 3x               Subtract 3x from both sides

2x - 18 = 42

    + 18  + 18              Add 18 to both sides

2x = 60                     Divide both sides by 2

x = 30

Now plug this into the equation for angle A

∠A = 5(30) − 18        Multiply

∠A = 150 - 18           Subtract

∠A = 132 degrees

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