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Two complementary angles have measures in the ratio of 1 to 5. Find the measure of each angle.
15 and 75
18 and 72
30 and 150
36 and 144

Respuesta :

15 and 75. I had this same question on a test.

Answer:

15° and 75°

Step-by-step explanation:

We are given that the two complementary angles have the measures in ratio 1 : 5.

Let the measure of one angle be x°.

Since, the ratio is 1 : 5.

This gives us that the angle measure of other angle will be 5x°.

Now, we know that the sum of complementary angles is 90°.

So, x° + 5x° = 90°

i.e. 6x° = 90°

i.e. x = [tex]\frac{90}{6}[/tex]

i.e. x = 15°

This  gives that 5x° = 5 × 15° = 75°.

Hence, the angle measures are given by 15° and 75°.

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