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Answer:

Angle 2 = 124 degrees

Step-by-step explanation:

Angles 1 and 2 are corresponding angles since the two lines are parallel.

We can put both numbers into an equation.

3x + 25 = 2x + 58

Subtract both sides by 2x which will give:

x + 25 = 58

Now, we can solve for x, which is:

x = 58-25 = 33

Put back x = 33 into angle 2.

Hence, angle 2 is 2*33 + 58 = 124

Answer:

m∠2 = 124 degrees

Step-by-step explanation:

By the definition of "Same Side Corresponding Angles" the 2 angles given are congruent to each other, therefore we can say;

3x + 25 = 2x + 58

x + 25 = 58

x = 58 - 25

x = 33

Now that we have x = 33, we can substitute 33 in for x, in equation given for angle 2 to find it's measure;

∠2 = 2(33) + 58

∠2 = 66 + 58

∠2 = 124

Therefore m∠2 = 124 degrees.

Hope this helps!

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