Question

If 2 complementary angles are in the ratio 1:8, find the angles

Answer 1

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}

6

90

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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THANK YOU

Step-by-step explanation:

please mark this answer as brainlist answer please

Answer 2

Answer:

Let the angles be 1x and 8x

ATQ,

1x+8x=90°

9x=90°

x=90/9

x=10°

1x=10°

8x=8×10=80°

Hope it will help you ✌️✌️