Answer:
Therefore,
The measures of two complementary angles are 3° and 87°.
Step-by-step explanation:
Given:
Let one angle measure of a Complementary angles be "x".
Then according to the given condition:
Measure of other angle will be 29 times "x" , let y = 29x.
To Find:
The measures of two complementary angles = ?
Solution:
Complementary Angles:
Two angles are Complementary when they add up to 90 degrees.
Example 40° and 50° are Complementary Angles.
If 'x' and 'y' are Complementary Angles the we have
Substituting the values we get

Substituting x in y we get

Therefore,
The measures of two complementary angles are 3° and 87°.