Answer:
65.8° and 114.2°
Step-by-step explanation:
Suplementary angles sum 180°
then:
a + b = 180° eq 1
a = b - 48.4 eq 2
replacing the value of eq 2 in eq 1:
(b-48.4) + b = 180°
2b - 48.4 = 180°
2b = 180 + 48.4
2b = 228.4
b = 114.2°
from the eq. 1
a = b - 48.4
a = 114.2 - 48.4
a = 65.8°
Check:
114.2° + 65.8° = 180°
