# In the adjoining figure, there coplanar lines AB, CD and EF intersect at a point O, forming angles as shown. Find the values of x, y, z and t.

X=4, Y=4, Z=50, t=90

Given, coplanar lines AB, CD and EF intersect at a point O.

Therefore, AOF = BOE ________________________ (i)

BOD = AOC ________________________ (ii)

DOF = COE ________________________ (iii)

x = y from equation (i)

t = 90 from equation (ii)

z = 50 from equation (iii)

AOF + DOF + BOD = 180° (from AOB straight line)

x + 50° + 90° = 180°

x = 180° - 140°

x = 40°

x = y = 40° from equation (i)

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