Answer:
∠ 1 = 72°
Step-by-step explanation:
(4n - 2) and (2n + 17) are adjacent angles and sum to 180° , that is
4n - 2 + 2n + 17 = 180
6n + 15 = 180 ( subtract 15 from both sides )
6n = 165 ( divide both sides by 6 )
n = 27.5
Then
2n + 17 = 2(27.5) + 17 = 55 + 17 = 72
∠ 1 and 2n + 17 are vertical angles and congruent , so
∠ 1 = 72°
