The measure of angles are 22.5 degree and 67.5 degree
Solution:
Given that, measures of two complementary angles are in ratio 1 : 3
one angle : another angle = 1 : 3
Let the first complementary angle 1x
Let the another complementary angle be 3x
If the angles are complementary, then their sum is 90 degrees
Therefore,
1x + 3x = 90
4x = 90
x = 22.5
Then, first angle = 1x = 1(22.5) = 22.5
Another angle = 3x = 3(22.5) = 67.5
Thus the measure of angles are 22.5 degree and 67.5 degree