Answer:
∠2 = 60°
Explanation:
You want the measure of angle 2, where angles 1 and 2 form a linear pair and are marked ∠1 = 5x-5, and ∠2 = 2x+10. You are shown that x=25 and angle 1 is 120°.
Angle 2
There are two ways you can find the measure of angle 2.
1. Use the fact that angle 2 is supplementary to angle 1, which is given as 120°.
∠2 = 180° -∠1 = 180° -120°
∠2 = 60°
2. Use the expression in x to find angle 2, since you know the value of x.
∠2 = 2x +10 = 2(25) +10 = 50 +10
∠2 = 60°
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Additional comment
It looks like you have figured out how to find x. You use the fact that the total of the two angle measures of a linear pair of angles is 180°.
(5x -5) +(2x +10) = 180
7x = 175 . . . . . . subtract 5
x = 25 . . . . . . . divide by 7