Question

in figure ab is parllel to cd and 1:4=3:2. find angle 6

Answer 1

In the figure we have angles 1, 3, 5 and 7 equal and 2, 4, 6 and 8 equal.

Let us label the first four as x and the next four as y.

2(x + y) = 360

x + y = 180 (i)

x/y = 3/2  (ii)

Solving the two equations we get,

x = 108 and y = 72

Angle 6 = 72 degrees