Question

If two complementary angles are in the ratio 1:5,then the angles are

Answer 1

I think the answer will be 15 and 75. Hope it helps:):):) w/k when the sum of two angles is 90 then they are known as complementary angles. Here let us first find the value of the first ratio.

Given,1:5. To find the value at first add the given ratios so the answer will be 1+ 5 which is equal to 6. Then, 1/6* 90, which is the total sum of the angles. This gives the answer 15. Similarly we can find the value of the second ratio 5 which will give the answer 75. We can also find the value of the second ratio by subtracting the value of first ratio from the total value which will give 90-15 equal to 75. Thus the final values are 15 and 75. Hope it helps

Answer 2

$\mathbb{ELLO \ THERE!}$

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$\mathsf{ANSWER}$

Complementary angles are those angles who add up to 90°

Angles given,

1:5

1x and 5x.

We know complementary angles add up to 90°

∴ 1x + 5x = 90°

Since now we have an equation, we can solve it!

1x + 5x = 90°

      6x = 90°

        x = $\frac{90}{6}$

       x = 15°

We have found out the value of 'x', now we subsitute this value of 'x' in 1x and 5x.

1x

1(15)

15°

∴ 1x = 15°

5x

5(15)

75°

∴ 5x = 75°

Therefore the angles are 15° and 75°

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Checking if the answer is Correct (Only for checking purpose)

Since complementary angles add up to 90° we must get 90° when we sum up the angles found. Lets try :D

15° + 75° = 90°

       90° = 90°

      LHS = RHS

Therefore our answer is correct!

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