Question

If two complementary angles are in the ratio 13 : 5, then the angles are:​

Answer 1

Answer:

angle 1 =65

angle 2=25

thank you

Step-by-step explanation:

Answer 2

The two angles are 65 degrees and 25 degrees.

Given:

The ratio of two complementary angles 13:5.

To Find:

The angles.

Solution:

It is known that the sum of two complementary angles is 90 degrees.

Let the angles be 13x and 5x.

Add the two angles and equate to 90 degrees then find x.

$13x+5x=90\\18x=90\\x=5$

Multiply 13 and 5 with 5 simultaneously.

$13\times 5=65\\5\times 5=25$

Thus, the two angles are 65 degrees and 25 degrees.

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