Math, asked by medammani4, 10 months ago

if one of the complementary angles is square of the other , then find then​

Answers

Answered by Mayank200627
0

Answer:

The complementary angles are 81° and 9°.

Step-By-Step Explanation

Let one of the complementary angle = x

∴ Other of the complementary angle =

To find, the complementary angles = ?

We know that,

The sum of the complementary angles = 90°

∴ + x = 90°

⇒ + x - 90 = 0

⇒ + 10x - 9x - 90 = 0

⇒ x(x + 10) - 9(x + 10) = 0

⇒ (x - 9)(x + 10) = 0

⇒ x - 9 = 0 or, x + 10 = 0

⇒ x = 9 ∴ or, x = - 10 [ ∵  - 10 is not possible]

∴  x = 9°

Other of the complementary angle = = 81°

Thus, the complementary angles are 81° and 9°

Hope it helps you!!!!!!

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Answered by Anonymous
1

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The complementary angles are 81° and 9°.

Step-by-step explanation:

Let one of the complementary angle = x

∴ Other of the complementary angle =

To find, the complementary angles = ?

We know that,

The sum of the complementary angles = 90°

∴ + x = 90°

⇒ + x - 90 = 0

⇒ + 10x - 9x - 90 = 0

⇒ x(x + 10) - 9(x + 10) = 0

⇒ (x - 9)(x + 10) = 0

⇒ x - 9 = 0 or, x + 10 = 0

⇒ x = 9 ∴ or, x = - 10 [ ∵  - 10 is not possible]

∴  x = 9°

Other of the complementary angle = = 81°

Thus, the complementary angles are 81° and 9°.

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