The measures of two complementary angles have a ratio of 1:2 what is the measure of each angle

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