If the measure of angle 1 is 57°, find the measures of angle 6

∠6 = 123°

Step-by-step explanation:

∠1 = ∠4 because they are vertically opposite angles and vertically opposite angles are equal.

∠4 + ∠6 = 180 (same side interior angles are equal)

∠6 = 180 - 57

∠6 = 123°

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5