I am facing east. I turn 100^∘ in the clockwise direction and then ${145}^{\circ }$ in the anticlockwise direction. Which direction am I facing now?

As shown in figure, the man initially faces towards east i.e., in the direction OA. On moving l 00° clockwise, he faces in the direction OB. On further moving 145° anti-clockwise, he faces the direction OC. Clearly, OC makes an angle of {145° - 100°) i.e. 45° with OA and so, the man faces in the direction North-east.