Help me please on this Equation! Equation practice with angles..
2 answers:
∠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°
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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