Question

5x+14,4x-5are complementary anglesthen the angles are

Answer 1

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5x+14,4x-5 are complementary angles then the angles are?

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Let 1st angle is = 5x+14

Let 2nd angle is = 4x-5

Sum of complementary angle = 90°

(5x+ 14) + (4x-5) = 90°

5x+14 + 4x-5 = 90°

9x + 9 = 90°

$9x = 90 - 9 \\ \\ 9x = 81 \\ \\ x = \frac{81}{9} \\ \\ x = 9$

Now the angles are :-

Let 1st angle is = 5x+14 (Put the value of X = 9)

Let 2nd angle is = 4x-5 (Put the value of X = 9)

Put X = 9 , in the equation

Let 1st angle is = 5x+14 = 5(9) +14

Let 2nd angle is = 4x-5 = 4(9) -5

Final Answer

1st angle is = 59°

2nd angle is = 31°

$\huge\underline{Be~Brainly}$

Answer 2

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Let 1st angle is = 5x+14

Let 2nd angle is = 4x-5

Sum of complementary angle = 90°

(5x+ 14) + (4x-5) = 90°

5x+14 + 4x-5 = 90°

9x + 9 = 81

9x = 81 - 9

$x = \frac{81}{9}$

Now the angles are :-

Let 1st angle is = 5x+14 (Put the value of X = 9)

Let 2nd angle is = 4x-5 (Put the value of X = 9)

Put X = 9 , in the equation

Let 1st angle is = 5x+14 = 5(9) +14

Let 2nd angle is = 4x-5 = 4(9) -5

Final Answer

1st angle is = 59°

2nd angle is = 31°