Q. 45.0( 1 Vote )

Find the measure A. 48°

B. 96°

C. 24°

D. 58°

Answer :

Let the required angle be x and it’s complement is y and it’s supplement is z.


x + y = 90


i.e. y = 90 – x


And, x + z = 180


i.e. z = 180 – x


Now, according to question,


Six times of complement of x is 12°


less than twice of its supplement.


i.e. 6y = 2z – 12


Putting the value of y and z in this equation,


6 (90 – x) = 2 (180 – x) – 12


540 – 6x = 360 – 2x – 12


6x – 2x = 540 – 360 + 12


4x = 192



x = 48°


Hence required angle is 48°.

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