Two adjacent angles, angle 1 and angle 2, form a resulting angle with measure 161°. If angle 1=(4n)° and angle 2=(4n+1)°, what are the two unknown angle measures?
If we add the measures of angle 1 and angle 2, we should get 161°.
(4n)° + (4n+1)° = 161°
8n + 1 = 161
8n = 160
n = 20
So angle 1 = (4(20))° = 80°
And angle 2 = (4(20)+1)° = 81°
The two unknown angle measures are 80° and 81°. Answer: \boxed{80, 81}.