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
[tex]x+y=90\°[/tex]
Substituting the values we get
[tex]x+29x=90\\30x=90\\\\x=\dfrac{90}{30}=3[/tex]
Substituting x in y we get
[tex]y = 29x = 29\times 3=87\°[/tex]
Therefore,
The measures of two complementary angles are 3° and 87°.
