Question

the complementary angles are in the ratio 1:5 find their difference ​

Answer 1

Answer:

60°

Step-by-step explanation:

Let the complementary angles be (1x)° and (5x)° respectively.

We know that complementary angles have a sum of 90°.

So, (1x)°+(5x)° = 90°

=> 1x+5x = 90

=> 6x = 90

=> x = 90/6

=> x = 15

So, the complementary angles are (1×15)° = 15° and (5×15)° = 75°.

Their difference = 75° - 15° = 60°

Hence, their difference is 60°

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