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The measure of two complementary angles are in the ratio of 1:5. What are the degree measures of the two angles

Respuesta :

k41ina

Answer:

15 degrees & 75 degrees

Step-by-step explanation:

A complementary angles are angles that add up to be 90 degrees. The ration of one of those angles to the other is 1:5.

One angle will be x degrees, and the other will be 5x degrees. Together, they  will be 90 degrees. We can turn that into this equation:

5x + x = 90

6x = 90

x = 15

So, since x is 15 degrees, one of the angles is 15 degrees, and the other is 5 times that, or 75 degrees.

Amenika
The sum of a pair of complementary angles are always 90 degrees. So this problem can be expressed in the equation x + 5x = 90 where x is representative of the smaller angle. By solving this equation:

x + 5x = 90
6x = 90
x = 15

Therefore the smaller angle has a value of 15 degrees and the larger angle has a value of 75 degrees.

Hope that helped : )