Answer:
∠ 1 = 139°
Step-by-step explanation:
∠ 1 and (8x - 5)° are vertical angles and are congruent (equal) , so
∠ 1 = 8x - 5
∠ 1 and (2x + 5)° are same- side exterior angles and sum to 180° , then
2x + 5 + 8x - 5 = 180 ( simplify left side )
10x = 180 ( divide both sides by 10 )
x = 18
Then
∠ 1 = 8x - 5 = 8(18) - 5 = 144 - 5 = 139°
