Question

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?

Answer 1

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}.