Respuesta :

jessicatrieu
∠A and ∠B are corresponding angles, which means they have the angle measure. Since you know this you can put A and B into an equation and isolate x.

7x + 40 = 3x + 112
7x - 3x = 112 - 40
4x = 72
x = 72/4
x = 18

Now that you know what x is, you can find the angle for ∠A.

7x + 40
= 7(18) + 40
= 126 + 40
= 166°

Therefore, ∠A is 166°
tramserran

Answer: x = 18, ∠A = 166°

Step-by-step explanation:

The relationship between ∠A and ∠B is that they are corresponding angles, which means they are congruent (equal).

   ∠A    =    ∠B

7x + 40 = 3x + 112

4x + 40 =         112           subtracted 3x from both sides

4x         =          72           subtracted 40 from both sides

 x         =  18                    divided both sides by 4

∠A = 7x + 40

    = 7(18) + 40

    = 126 + 40

    = 166

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