z degree y degree x degree.find a, if x = 3a , y = 5x and z = 6x.
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y=60 degree (Alternate interior angles)
z =55 degree (Alternate interior angles )
x +60 +55=180 degree (Angle sum property)
x+115=180
x=180-115
x=65 degree
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Step-by-step explanation:
Given \: x = 3a ---(1) \\y = 5x\:---(2)\\z = 6x\:---(3)
2x+2y+2z = 360
\* Sum of the angles around the point *\
2(x+y+z) = 360
\implies x + y + z = 180\degree
\implies 3a+5x+6x = 180
[ From (1), (2) and (3) ]
\implies 3a + 11x = 180
\implies 3a + 11\times 3a = 180\: [ From (1) ]
\implies 3a + 33a = 180
\implies 36a = 180
\implies a = \frac{180}{36}
\implies a = 5
Therefore.,
value of a =5
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