Answer:
Step-by-step explanation:
You want two supplementary angles such that the larger is 120° more than 1/4 the smaller.
Equation
Let x represent the smaller angle. Then the larger angle is (120 +1/4x). The sum of these two supplementary angles is 180, so we have ...
x + (120 +1/4x) = 180
Solution
5/4x = 60 . . . . . . . . . . . subtract 120
x = 48 . . . . . . . . . . multiply by 4/5
larger = 120 +(48/4) = 132
The larger angle is 132°; the smaller angle is 48°.
