Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is twenty dash nine times the other angle.

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°.

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