What is an angle if you know that it is five times smaller than an angle adjacent to it? Find adjacent angles if their difference is 38.

1.The sum of adjacent angles is 180 degrees. Let’s solve this task in a “part” way. Let the angle to be found is one piece, then the second angle is five pieces. Total parts 6 (5 + 1). One piece: 180: 6 = 30 degrees. This is the answer.
2.Let x be the first angle, then the second angle is x + 38.
x + x + 38 = 180 (adjacent corners)
2x = 180-38
2x = 142
x = 71
x + 38 = 109
Answer: 71 degrees is the first angle, 109 degrees is the second angle.