Question

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.

Answer 1

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

$x+y=90\°$

Substituting the values we get

$x+29x=90\\30x=90\\\\x=\dfrac{90}{30}=3$

Substituting x in y we get

$y = 29x = 29\times 3=87\°$

Therefore,

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