if one of the complementary angles is square of the other , then find then
Answers
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°
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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°.