Question

in the adjoining figure,AOB is a straight line.Calculate angle COE

with working

Answer 1

As AOB is a straight line
x + x+ y+ y = 180
(because form a straight angle & are linear pairs)

so 2x + 2y =180°
2(x+y)=180
x+y = 180/2 =90°

Now angle COE is also (x+y)
Therefore, angle COE = 90°

HOPE IT HELPS...... :-)

Answer 2

2x +2y = 180°
x+y = 90°  

Since  Angle COE = x+ y 
            Angle COE =90°