Math, asked by ItzUnicorn, 10 months ago

If the angle and its complement are x° and √x° respectively, find the angle.​

Answers

Answered by Anonymous
25

Answer:

Question-

If the angle and its complement are x° and √x° respectively, find the angle.

Solution -

Sum of the two angles Should be 90°

Complementary angles , x + √x = 90°.

putting,

\mathrm{x =y^2}

The Equation reduces to

 {y}^{2}  + y = 90

 {y}^{2}  + y - 90 = 0

 {y}^{2}  + 10y - 9y - 90 = 0

y(y + 10) - 9(y + 10) = 0

(y + 10)(y - 9) = 0

y =  - 10 \: and \: 9

Since y can't have negative value ,

y = 9 is only acceptable Solution.

x =  {9}^{2}  = 81

Hence, the required angle is 81°.

Answered by Anonymous
10

Answer:

Question-

If the angle and its complement are x° and √x° respectively, find the angle.

Solution -

Sum of the two angles Should be 90°

Complementary angles , x + √x = 90°.

putting,

\mathrm{x =y^2}

The Equation reduces to

 {y}^{2}  + y = 90

 {y}^{2}  + y - 90 = 0

 {y}^{2}  + 10y - 9y - 90 = 0

y(y + 10) - 9(y + 10) = 0

(y + 10)(y - 9) = 0

y =  - 10 \: and \: 9

Since y can't have negative value ,

y = 9 is only acceptable Solution.

x =  {9}^{2}  = 81

Hence, the required angle is 81°.

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