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1
Let x = 5a , y = 4a , z = 6a
As XOY is Straight line, It will form 180° angle.
Hence, 5a + 4a + 6a = 180°
or, 15a = 180°
or, a = 180°/15
or, a = 12°
x = 5 × 12° = 60°
y = 4 × 12° = 48°
z = 6 × 12° = 72°
Answered by
3
Step-by-step explanation:
=> x+y+z = 180
=> x:y:z = 5:4:6
=> x/y = 5/4
=> y = 4x/5 ........@1
=> x/z = 5/6
=> z = 6x/5 .........@2
put y and z value in upper equation.
=> x + 4x/5 + 6x/5 = 180
=> 15x/5 = 180
=> 3x = 180
=> x = 60 degree.
put x in equation 1 & 2
=> y = 4*60/5 = 48 degree
=> z = 6*60/5 = 72 degree
x= 60 , y = 48 , z = 72 degree.
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