If two angles are supplementary and one angle is 5 more the time other find
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If two angles are supplementry and one angle is 5 times more then the other. Find angles
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GIVEN :-
- two angles are supplmentry or we can say their sum is 180
- one is 5 more then other
- let angles are x and y
- apply given condition
- x+y = 180 ........eq1 and x = 5y ........ eq2
put x = 5y in 1
we get
6y = 180 or y = 30
put y= 30 in 1
we get x = 150
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Answer:
Let the angles be x and y
x + y = 180 ---> (1)
y = 4x + 5 ==> 4x - y = -5 ---> (2)
Adding equation 1 and 2 ,
x +y = 180
4x - y = -5
========
5x = 175
x = 35
y = 180 - 35 = 145
=======================
The angles are 35° and 145°
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