Answer:
60°
Step-by-step explanation:
Complementary angles sum 90°
a + b = 90° Eq. 1
b = a/2 Eq. 2
Replacing Eq. 2 in the Eq. 1
a + a/2 = 90
2a/2 + a/2 = 90
3a/2 = 90
a = 90*2/3
a = 60
from the Eq. 2
b = 60/2
b = 30
Check:
from the Eq. 1
60 + 30 = 90
Answer:
60>30
Then
The larger angle is:
60°
