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newyorkdiva02
newyorkdiva02 newyorkdiva02
  • 26-02-2017
  • Mathematics
Answered

the supplement of an angle is 5 times its complement.What is the measure of the angle?

Verified Answer :

PRACHIRAI123 PRACHIRAI123
  • 20-03-2017

Let the angle be x and its complement be y and its supplement be z
Then A/Q
x +y = 90°
x = 90° - y -----(¡)
And x+z = 180°
From ques. z = 5y
Then x + z = 180°
x + 5y = 180°
From (¡) 90 - y +5y = 180
90-4y = 180
y = 90/4 = 22.5°
x = 90- 22.5
= 67.5

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