Question

B
E
zo
>D
CE
yº
xº
AB, CD and EF are three lines intersecting at the same point. c

(ii) Find a, if x = 3a, y = 5x and z = 6x.
whole angle= 360°​

Answer 1

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