Q. 73.9( 17 Votes )

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.


Answer :

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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