Answer:

The consecutive interior angles of a parallelogram are supplementary or equal to 180.

so we simply add the two angles = 180

∠1 + ∠2 = 180

given:

∠1 = 2x-15

∠2 = x + 30

so

∠1 + ∠2 = 180

2x-15 + x + 30 = 180

3x - 15 = 180

3x = 180 - 15

3x = 165

x = 55

so now we get actual measurements of ∠1 and ∠2 by substituting x into their equation

∠1 = 2x-15 = 2(55)-15 = 95

∠2 = x + 30 = 55 + 30 = 85

So it means that ∠2 is the smaller angle with a value of 85°

Click that Brainliest button if you find this useful or I have helped you in some way .

Follow for more fun facts and math solutions!