Question

Seven times the complement of an angle is 10 less than three times its suplement find the angle

Answer 1

Let the angle be x

Seven times the complement of an angle is 10 less than three times its suplement find the angle

=> 7(90-x) = 3(180-x) - 10

=> 630 - 7x = 540 - 3x - 10

=> -7x + 3x = 540 -10 -630

=> -4x = -100

=> 4x = 100

=> x = 100/4 = 25°

Angle is 25°

Answer 2

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⏩Let the angle be y

As we have already given ,

Seven times the complement of an angle is 10 less than three times its suplement.

⏩7(90-y) = 3(180-y) - 10

⏩ 630 - 7y = 540 - 3y - 10

⏩ -7y + 3y = 540 -10 -630

⏩ -4y = -100

⏩4y= 100

⏩y = 100/4 = 25°

⏩⏩25°


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