Can somebody explain this to me

This problem is asking you to use angle relationships (vertical angles, supplementary angles) to solve this problem.

Step-by-step explanation:

1. The vertical angles between ∠1 & ∠2 are equal, so find the value of x using an equation that sets them as equal to each other.

4x - 48° = x + 30°

2. These two vertical angles are supplementary to ∠1 & ∠2 on their corresponding sides (∠1 & x + 30°, ∠2 & 4x - 48°). Subtract the value of x from 180°, which is the degree of a straight line.

180° - x = ∠1

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step-by-step explanation:

one that is bigger than 3 1/2