Question

If two complementary angles are in the ratio 1:5 find them​

Answer 1

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Step-by-step explanation:

Step-by-step explanation:If the sum of two angles is 90° then the two angles are complementary.

Given that, two complementary angles are in the ratio 1:5

Therefore, two angles be x and 5x

So,

x + 5x = 90

=> 6x = 90

=> x = 90/6

=> x = 15

Now,

the smaller angle is 15°

the smaller angle is 15°and the other angle is 5 x 15= 75°

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Answer 2

Answer:

15° and 75°

Step-by-step explanation:

since complementary angles have sum 90°

So, one angle will be x and other will be 90-x

And as the relation is given,

1/5=x/90-x

By cross multiplication

1× 90-x= 5×x

90-x = 5x

By transposing variable to one side, we get,

5x+x = 90°

6x= 90

x = 90/6

= 15

if x =15°

90-× = 90-15

=75°

hence two angles are 75° & 15° which are complimentary having sum 90°