Respuesta :
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!