The two angles are 30 degrees and 60 degrees
Solution:
Given that,
The measures of two complementary angles have a ratio of 1 : 2
Let the one of angle be 1x
Let the other angle be 2x
We know that,
Sum of two complementary angles is 90 degrees
Therefore,
1x + 2x = 90
3x = 90
Divide both sides by 3
x = 30
Therefore, measure of each angles is:
One angle = 1x = 30
Other angle = 2x = 2(30) = 60
Thus the two angles are 30 degrees and 60 degrees