Answer:
59.9° AND 120.1°
Step-by-step explanation:
Call the measure of one angle n. The other angle, which is 60.2° bigger, measures n + 60.2°.
Since the angles are supplementary, their measures must add to 180°. Set up an equation and solve for n.
n + n + 60.2° = 180°
2n + 60.2° = 180°
2n+ 60.2° − 60.2° = 180°− 60.2°
2n= 119.8°
2n÷ 2 = 119.8°÷ 2
n= 59.9°
The first angle measures 59.9°. Now plug in n = 59.9° to find the measure of the other angle, n + 60.2°.
n+ 60.2° = 59.9° + 60.2°
= 120.1°
So, the two angles measure 59.9° and 120.1°.
