Question
Sun December 04, 2011 By:

from the given figure,find the value of x and y,where angle A=(2x+4)`, angle B=(x+10)`,angle C=(4y-4)` and angle D=(5y+5).

Expert Reply
Mon December 05, 2011
ABCD is a cyclic quadrilateral
So, sum of pair of opposite angles = 180o
or (2x+4) + (4y - 4) = 180o and (x+10) + (5y + 5) = 180o
or 2x + 4y = 180o and x + 5y = 165o
Solving this pair of simultaneous equations for x & y,
we get x = 40o, y = 25o
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