If the two complementary angles measure (5x-3)° and (8x-2)°, then the value of 5x is
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Answered by
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Complementary angles equals 90 degrees
So,
(5x-3) + (8x-2) =90
5x + 8x -3-2 = 90
5x + 8x -5 = 90
Adding 5 to both sides
5x + 8x -5+5=90+5
5x +8x =95
Subtracting 8x from both sides
5x +8x -8x = 95-8x
5x = 95 - 8x
So,
(5x-3) + (8x-2) =90
5x + 8x -3-2 = 90
5x + 8x -5 = 90
Adding 5 to both sides
5x + 8x -5+5=90+5
5x +8x =95
Subtracting 8x from both sides
5x +8x -8x = 95-8x
5x = 95 - 8x
Answered by
0
The value of 5x = 36.535
Given:
If the two complementary angles measure (5x-3)° and (8x-2)°
To find:
The value of 5x is
Solution:
Complementary angles:
- The pair of angle whose sum will equal 90° are called as Complementary angles.
- The complementary angle of an angle A will be equals to (90°-A)
Given (5x-3)° and (8x-2)° are two complementary angles
⇒ (5x-3)° + (8x-2)° = 90°
⇒ 13x - 5 = 90
⇒ 13x = 95
⇒ x = 7.307
5x = 5(7.307) = 36.535
The value of 5x = 36.535
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