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maksim [4K]
2 years ago
10

Help me please on this Equation! Equation practice with angles..​

Mathematics
2 answers:
Andreyy892 years ago
8 0
∠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°
Degger [83]2 years ago
8 0

Answer: x = 18, ∠A = 166°

<u>Step-by-step explanation:</u>

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           <em>subtracted 3x from both sides</em>

4x         =          72           <em>subtracted 40 from both sides</em>

 x         =  18                    <em>divided both sides by 4</em>

∠A = 7x + 40

    = 7(18) + 40

    = 126 + 40

    = 166

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